Data Visualization with R
Snippets
Fernando Millan Villalobos
August 2021
1 Notes
This report was generated on 2021-08-12 16:28:11. R version: 4.1.1 on x86_64-pc-linux-gnu. For this report, CRAN packages as of 2021-06-01 were used.
…
1.1 R-Script & data
The preprocessing and analysis of the data was conducted in the R project for statistical computing. The RMarkdown script used to generate this document and all the resulting data can be downloaded under this link. Through executing main.Rmd, the herein described process can be reproduced and this document can be generated. In the course of this, data from the folder input will be processed and results will be written to output. The html on-line version of the analysis can be accessed through this link.
1.2 GitHub
The code for the herein described process can also be freely downloaded from https://github.com/fernandomillanvillalobos/datavizR.
1.3 License
…
1.4 Data description of output files
1.4.0.1 abc.csv (Example)
| Attribute | Type | Description |
|---|---|---|
| a | Numeric | … |
| b | Numeric | … |
| c | Numeric | … |
1.4.0.2 xyz.csv
…
2 Set up
## [1] "package package:rstudioapi detached"
## [1] "package package:knitr detached"2.1 Define packages
# from https://mran.revolutionanalytics.com/web/packages/\
# checkpoint/vignettes/using-checkpoint-with-knitr.html
# if you don't need a package, remove it from here (commenting not sufficient)
# tidyverse: see https://blog.rstudio.org/2016/09/15/tidyverse-1-0-0/
cat("
library(rstudioapi)
library(tidyverse, warn.conflicts = FALSE) # ggplot2, dplyr, tidyr, readr, purrr, tibble, magrittr, readxl
library(scales) # scales for ggplot2
library(lintr) # code linting
library(rmarkdown)
library(cowplot) # theme
library(extrafont)
library(ggrepel) # text labels
library(gapminder) #data sets
library(socviz) # book Data Visualization: A Practical...
library(RColorBrewer)
library(ggforce)
library(dichromat) # palettes for color-blind
library(ggridges) # density ridges plots
library(viridis) # colors
library(palmerpenguins)
library(lubridate)
library(ggforce)
library(ggthemes) # set of themes
library(nycflights13) # ds example
library(broom) # cleans model output
library(glue) # for easy text formatting
library(ggiraph) # for interaction
library(hexbin)
library(patchwork)
library(distributional) # for dist_normal()
library(psych)
library(introdataviz)
library(ggalluvial)
library(ggdist)
library(ds4psy) # book Data Science for Psychologists
library(gganimate)",
file = "manifest.R")2.2 Install packages
# if checkpoint is not yet installed, install it (for people using this
# system for the first time)
if (!require(checkpoint)) {
if (!require(devtools)) {
install.packages("devtools", repos = "http://cran.us.r-project.org")
require(devtools)
}
devtools::install_github("RevolutionAnalytics/checkpoint",
ref = "v0.3.2", # could be adapted later,
# as of now (beginning of July 2017
# this is the current release on CRAN)
repos = "http://cran.us.r-project.org")
require(checkpoint)
}
# nolint start
if (!dir.exists("~/.checkpoint")) {
dir.create("~/.checkpoint")
}
# nolint end
# install packages for the specified CRAN snapshot date
checkpoint(snapshot_date = package_date,
project = path_to_wd,
verbose = T,
scanForPackages = T,
use.knitr = F,
R.version = r_version)
rm(package_date)2.3 Load packages
source("manifest.R")
unlink("manifest.R")
sessionInfo()## R version 4.1.1 (2021-08-10)
## Platform: x86_64-pc-linux-gnu (64-bit)
## Running under: Ubuntu 20.04.2 LTS
##
## Matrix products: default
## BLAS: /usr/lib/x86_64-linux-gnu/openblas-pthread/libblas.so.3
## LAPACK: /usr/lib/x86_64-linux-gnu/openblas-pthread/liblapack.so.3
##
## locale:
## [1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C
## [3] LC_TIME=en_US.UTF-8 LC_COLLATE=en_US.UTF-8
## [5] LC_MONETARY=en_US.UTF-8 LC_MESSAGES=en_US.UTF-8
## [7] LC_PAPER=en_US.UTF-8 LC_NAME=C
## [9] LC_ADDRESS=C LC_TELEPHONE=C
## [11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C
##
## attached base packages:
## [1] stats graphics grDevices utils datasets methods base
##
## other attached packages:
## [1] gganimate_1.0.7 ds4psy_0.7.0 ggdist_3.0.0
## [4] ggalluvial_0.12.3 introdataviz_0.0.0.9002 psych_2.1.6
## [7] distributional_0.2.2 patchwork_1.1.1 hexbin_1.28.2
## [10] ggiraph_0.7.10 glue_1.4.2 broom_0.7.9
## [13] nycflights13_1.0.2 ggthemes_4.2.4 lubridate_1.7.10
## [16] palmerpenguins_0.1.0 viridis_0.6.1 viridisLite_0.4.0
## [19] ggridges_0.5.3 dichromat_2.0-0 ggforce_0.3.3
## [22] RColorBrewer_1.1-2 socviz_1.2 gapminder_0.3.0
## [25] ggrepel_0.9.1 extrafont_0.17 cowplot_1.1.1
## [28] rmarkdown_2.10 lintr_2.0.1 scales_1.1.1
## [31] forcats_0.5.1 stringr_1.4.0 dplyr_1.0.7
## [34] purrr_0.3.4 readr_2.0.0 tidyr_1.1.3
## [37] tibble_3.1.3 ggplot2_3.3.5 tidyverse_1.3.1
## [40] rstudioapi_0.13 checkpoint_1.0.0
##
## loaded via a namespace (and not attached):
## [1] colorspace_2.0-2 ellipsis_0.3.2 rprojroot_2.0.2 fs_1.5.0
## [5] farver_2.1.0 remotes_2.4.0 fansi_0.5.0 xml2_1.3.2
## [9] mnormt_2.0.2 knitr_1.33 polyclip_1.10-0 jsonlite_1.7.2
## [13] Rttf2pt1_1.3.8 dbplyr_2.1.1 compiler_4.1.1 httr_1.4.2
## [17] backports_1.2.1 assertthat_0.2.1 lazyeval_0.2.2 cli_3.0.1
## [21] tweenr_1.0.2 prettyunits_1.1.1 htmltools_0.5.1.1 tools_4.1.1
## [25] gtable_0.3.0 Rcpp_1.0.7 cellranger_1.1.0 jquerylib_0.1.4
## [29] vctrs_0.3.8 nlme_3.1-152 extrafontdb_1.0 xfun_0.25
## [33] ps_1.6.0 rvest_1.0.1 lifecycle_1.0.0 MASS_7.3-54
## [37] unikn_0.4.0 hms_1.1.0 rex_1.2.0 parallel_4.1.1
## [41] yaml_2.2.1 gridExtra_2.3 sass_0.4.0 stringi_1.7.3
## [45] desc_1.3.0 cyclocomp_1.1.0 rlang_0.4.11 pkgconfig_2.0.3
## [49] systemfonts_1.0.2 evaluate_0.14 lattice_0.20-44 htmlwidgets_1.5.3
## [53] processx_3.5.2 tidyselect_1.1.1 plyr_1.8.6 magrittr_2.0.1
## [57] R6_2.5.0 generics_0.1.0 DBI_1.1.1 pillar_1.6.2
## [61] haven_2.4.3 withr_2.4.2 modelr_0.1.8 crayon_1.4.1
## [65] uuid_0.1-4 utf8_1.2.2 tmvnsim_1.0-2 tzdb_0.1.2
## [69] progress_1.2.2 grid_4.1.1 readxl_1.3.1 callr_3.7.0
## [73] reprex_2.0.1 digest_0.6.27 munsell_0.5.0 bslib_0.2.5.12.4 Load additional scripts
# if you want to outsource logic to other script files, see README for
# further information
# Load all visualizations functions as separate scripts
knitr::read_chunk("scripts/dviz.supp.R")
source("scripts/dviz.supp.R")
knitr::read_chunk("scripts/themes.R")
source("scripts/themes.R")
knitr::read_chunk("scripts/plot_grid.R")
source("scripts/plot_grid.R")
knitr::read_chunk("scripts/align_legend.R")
source("scripts/align_legend.R")
knitr::read_chunk("scripts/label_log10.R")
source("scripts/label_log10.R")
knitr::read_chunk("scripts/outliers.R")
source("scripts/outliers.R")3 Data Visualization: A Practical Introduction (Kieran Healy)
3.1 Show the Right Numbers
3.1.1 Grouped Data and the “Group” Aesthetic
The group aesthetic is usually only needed when the grouping information you need to tell ggplot about is not built into the variables being mapped.
p <- ggplot(data = gapminder,
mapping = aes(x = year,
y = gdpPercap))
p + geom_line(aes(group=country))
3.1.2 Facet to Make Small Multiples
The facet_wrap() function can take a series of arguments, but the most important is the first one, which is specified using R’s “formula” syntax, which uses the tilde character, ~. Facets are usually a one-sided formula. Most of the time you will just want a single variable on the right side of the formula.
p <- ggplot(data = gapminder,
mapping = aes(x = year,
y = gdpPercap))
p + geom_line(aes(group = country)) + facet_wrap(~ continent)
p <- ggplot(data = gapminder, mapping = aes(x = year, y = gdpPercap))
p + geom_line(color="gray70", aes(group = country)) +
geom_smooth(size = 1.1, method = "loess", se = FALSE) +
scale_y_log10(labels=scales::dollar) +
facet_wrap(~ continent, ncol = 5) +
labs(x = "Year",
y = "GDP per capita",
title = "GDP per capita on Five Continents")
The facet_wrap() function is best used when you want a series of small multiples based on a single categorical variable. Your panels will be laid out in order and then wrapped into a grid. If you wish you can specify the number of rows or the number of columns in the resulting layout. Facets can be more complex than this. For instance, you might want to cross-classify some data by two categorical variables. In that case you should try facet_grid() instead. This function will lay out your plot in a true two-dimensional arrangement, instead of a series of panels wrapped into a grid.
p <- ggplot(data = gss_sm,
mapping = aes(x = age, y = childs))
p + geom_point(alpha = 0.2) +
geom_smooth() +
facet_grid(sex ~ race)
Multipanel layouts of this kind are especially effective when used to summarize continuous variation(as in a scatterplot) across two or more categorical variables, with the categories (and hence the panels) ordered in some sensible way.
3.1.3 Geoms Can Transform Data
Some geoms plot our data directly on the figure, as is the case with geom_point(), which takes variables designated as x and y and plots the points on a grid. But other geoms clearly do more work on the data before it gets plotted. Every geom_ function has an associated stat_ function that it uses by default. The reverse is also the case: every stat_ function has an associated geom_ function that it will plot by default if you ask it to. Sometimes the calculations being done by the stat_ functions that work together with the geom_ functions might not be immediately obvious. When ggplot calculates the count or the proportion, it returns temporary variables that we can use as mappings in our plots.
p <- ggplot(data = gss_sm, mapping = aes(x = bigregion))
p + geom_bar() # geom_bar called the default stat_ function associated with it, stat_count().
# We no longer have a count on the y-axis, but the proportions of the bars all have a value of 1, so all the bars are the same height. We want them to sum to 1, so that we get the number of observations per continent as a proportion of the total number of observations. This is a grouping issue again. In a sense, it’s the reverse of the earlier grouping problem we faced when we needed to tell ggplot that our yearly data was grouped by country.
p <- ggplot(data = gss_sm,
mapping = aes(x = bigregion))
p + geom_bar(mapping = aes(y = ..prop..))
# In this case, we need to tell ggplot to ignore the x-categories when calculating denominator of the proportion, and use the total number observations instead. To do so we specify group = 1 inside the aes() call. The value of 1 is just a kind of “dummy group” that tells ggplot to use the whole dataset when establishing the denominator for its prop calculations.
p <- ggplot(data = gss_sm,
mapping = aes(x = bigregion))
p + geom_bar(mapping = aes(y = ..prop.., group = 1)) # 1 is a dummy group
# Another example
p <- ggplot(data = gss_sm,
mapping = aes(x = religion, fill = religion))
p + geom_bar() + guides(fill = FALSE) # If we set guides(fill = FALSE), the legend is removed
3.1.4 Frequency Plots the Slightly Awkward Way
A more appropriate use of the fill aesthetic with geom_bar() is to cross-classify two categorical variables. This is the graphical equivalent of a frequency table of counts or proportions. When we cross-classify categories in bar charts, there are several ways to display the results. With geom_bar() the output is controlled by the position argument.
p <- ggplot(data = gss_sm,
mapping = aes(x = bigregion, fill = religion))
p + geom_bar() # The default output of geom_bar() is a stacked bar chart
# An alternative choice is to set the position argument to "fill".
p <- ggplot(data = gss_sm,
mapping = aes(x = bigregion, fill = religion))
p + geom_bar(position = "fill") # the bars are all the same height 
# When we just wanted the overall proportions for one variable, we mapped group = 1 to tell ggplot to calculate the proportions with respect to the overall N.
p <- ggplot(data = gss_sm,
mapping = aes(x = bigregion, fill = religion))
p + geom_bar(position = "dodge",
mapping = aes(y = ..prop.., group = religion))
# We can ask ggplot to give us a proportional bar chart of religious affiliation, and then facet that by region
p <- ggplot(data = gss_sm,
mapping = aes(x = religion))
p + geom_bar(position = "dodge",
mapping = aes(y = ..prop.., group = bigregion)) +
facet_wrap(~ bigregion, ncol = 1)
3.1.5 Histograms and density plots
A histogram is a way of summarizing a continuous variable by chopping it up into segments or “bins” and counting how many observations are found within each bin. In a bar chart, the categories are given to us going in (e.g., regions of the country, or religious affiliation). With a histogram, we have to decide how finely to bin the data. As with the bar charts, a newly-calculated variable, count, appears on the x-axis.
While histograms summarize single variables, it’s also possible to use several at once to compare distributions. We can facet histograms by some variable of interest.
# By default, the geom_histogram() function will choose a bin size for us based on a rule of thumb.
p <- ggplot(data = midwest,
mapping = aes(x = area))
p + geom_histogram()
# selecting another bin size
p <- ggplot(data = midwest,
mapping = aes(x = area))
p + geom_histogram(bins = 10)
oh_wi <- c("OH", "WI")
# subset the data
p <- ggplot(data = subset(midwest, subset = state %in% oh_wi), # %in% operator is a convenient way to filter on more than one termin a variable
mapping = aes(x = percollege, fill = state))
p + geom_histogram(alpha = 0.4, bins = 20)
# When working with a continuous variable, an alternative to binning the data and making a histogram is to calculate a kernel density estimate of the underlying distribution.
p <- ggplot(data = midwest,
mapping = aes(x = area, fill = state, color = state))
p + geom_density(alpha = 0.3)
# For geom_density(), the stat_density() function can return its default ..density.. statistic, or ..scaled.., which will give a proportional density estimate. It can also return a statistic called ..count.., which is the density times the number of points. This can be used in stacked density plots.
p <- ggplot(data = subset(midwest, subset = state %in% oh_wi),
mapping = aes(x = area, fill = state, color = state))
p + geom_density(alpha = 0.3, mapping = (aes(y = ..scaled..)))
3.1.6 Avoid transformations when necessary
Often our data is, in effect, already a summary table. This can happen when we have computed a table of marginal frequencies or percentages from the original data. Because we are working directly with percentage values in a summary table,we no longer have any need for ggplot to count up values for us or perform any other calculations. That is, we do not need the services of any stat_ functions. We can tell geom_bar() not to do any work on the variable before plotting it. To do this we say stat = ‘identity’ in the geom_bar() call.
p <- ggplot(data = titanic,
mapping = aes(x = fate, y = percent, fill = sex))
p + geom_bar(position = "dodge", stat = "identity") + theme(legend.position = "top")
# For convenience ggplot also provides a related geom, geom_col(), which has exactly the same effect but assumes that stat = "identity".
# The position argument in geom_bar() and geom_col() can also take the value of "identity". Just as stat = "identity" means “don’t do any summary calculations”, position = "identity" means “just plot the values as given”.
p <- ggplot(data = oecd_sum,
mapping = aes(x = year, y = diff, fill = hi_lo))
p + geom_col() + guides(fill = FALSE) +
labs(x = NULL, y = "Difference in Years",
title = "The US Life Expectancy Gap",
subtitle = "Difference between US and OECD
average life expectancies, 1960-2015",
caption = "Data: OECD. After a chart by Christopher Ingraham,
Washington Post, December 27th 2017.")
3.2 Graph Tables, Add Labels, Make Notes
3.2.1 Use Pipes to Summarize Data
letting the geoms (and their stat_ functions) do the work can sometimes get a little confusing. It is too easy to lose track of whether one has calculated row margins, column margins, or overall relative frequencies. A better strategy is to calculate the frequency table you want first and then plot that table. This has the benefit of allowing you do to some quick sanity checks on your tables, to make sure you haven’t made any errors.
In addition to making our code easier to read, it lets us more easily perform sanity checks on our results, so that we are sure we have grouped and summarized things in the right order.
rel_by_region <- gss_sm %>%
group_by(bigregion, religion) %>% # from outermost to innermost
summarize(N = n()) %>%
mutate(freq = N / sum(N), # calculate relative proportion
pct = round((freq*100), 0)) # calculate percentage
# Checking pct
rel_by_region %>%
group_by(bigregion) %>%
summarize(total = sum(pct))| bigregion | total |
|---|---|
| Northeast | 100 |
| Midwest | 101 |
| South | 100 |
| West | 101 |
# As a rule, dodged charts can be more cleanly expressed as faceted plots. Faceting removes the need for a legend and thus makes the chart simpler to read.
p <- ggplot(rel_by_region, aes(x = religion, y = pct, fill = religion))
p + geom_col(position = "dodge2") +
labs(x = NULL, y = "Percent", fill = "Religion") +
guides(fill = FALSE) +
coord_flip() + # flip the axis
facet_grid(~ bigregion)
3.2.2 Continuous Variables by Group or Category
The variables specified in group_by() are retained in the new data frame, the variables created with summarize() are added, and all the other variables in the original data are dropped.
We generally want our plots to present data in some meaningful order. The reorder() function will do this for us. It takes two required arguments. The first is the categorical variable or factor that we want to reorder. In this case, that’s country. The second is the variable we want to reorder it by. Here that is the donation rate, donors. The third and optional argument to reorder() is the function you want to use as a summary statistic. If you give reorder() only the first two required arguments, then by default it will reorder the categories of your first variable by the mean value of the second. You can use any sensible function you like to reorder the categorical variable (e.g., median, or sd).
organdata %>% select(1:6) %>% sample_n(size = 10) # pick a sample | country | year | donors | pop | pop_dens | gdp |
|---|---|---|---|---|---|
| Finland | 1991-01-01 | 16.80 | 5014 | 1.4827739 | 17281 |
| Australia | 1994-01-01 | 10.25 | 17855 | 0.2306484 | 19849 |
| Switzerland | 1998-01-01 | 15.43 | 7110 | 17.2196658 | 28733 |
| Belgium | 2001-01-01 | 22.20 | 10287 | 31.0785498 | 27113 |
| Belgium | 1992-01-01 | 20.60 | 10045 | 30.3474320 | 19444 |
| Sweden | 1991-01-01 | 16.40 | 8617 | 1.9150591 | 19000 |
| Netherlands | 1992-01-01 | 15.10 | 15184 | 36.5615218 | 19285 |
| Spain | NA | NA | NA | NA | NA |
| Austria | 1996-01-01 | 24.70 | 7959 | 9.4908180 | 23798 |
| Sweden | 1993-01-01 | 15.20 | 8719 | 1.9377278 | 19063 |
# dotplot
p <- ggplot(data = organdata, mapping = aes(x = year, y = donors))
p + geom_point()
# lineplot
p <- ggplot(data = organdata,
mapping = aes(x = year, y = donors))
p + geom_line(aes(group = country)) + facet_wrap(~ country)
# boxplot
p <- ggplot(data = organdata,
mapping = aes(x = country, y = donors))
p + geom_boxplot() +
coord_flip()
# boxplot reordered
p <- ggplot(data = organdata,
mapping = aes(x = reorder(country, donors, na.rm = TRUE),
y = donors))
p + geom_boxplot() +
labs(x=NULL) +
coord_flip()
# violin plot reordered and filled
p <- ggplot(data = organdata,
mapping = aes(x = reorder(country, donors, na.rm=TRUE),
y = donors, fill = world))
p + geom_violin() + labs(x=NULL) +
coord_flip() + theme(legend.position = "top")
# dotplot reordered and colored
p <- ggplot(data = organdata,
mapping = aes(x = reorder(country, donors, na.rm=TRUE),
y = donors, color = world))
p + geom_point() + labs(x=NULL) +
coord_flip() + theme(legend.position = "top")
# dotplot jittered, reordered and colored
p <- ggplot(data = organdata,
mapping = aes(x = reorder(country, donors, na.rm=TRUE),
y = donors, color = world))
p + geom_jitter(position = position_jitter(width=0.15)) + # to avoid overplotting
labs(x=NULL) + coord_flip() + theme(legend.position = "top")
When we want to summarize a categorical variable that just has one point per category, we should use this approach as well. The result will be a Cleveland dotplot, a simple and extremely effective method of presenting data that is usually better than either a bar chart or a table. Cleveland dotplots are generally preferred to bar or column charts. When making them, put the categories on the y-axis and order them in the way that is most relevant to the numerical summary you are providing. This sort of plot is also an excellent way to summarizemodel results or any data with with error ranges.
by_country <- organdata %>%
group_by(consent_law, country) %>%
summarize(donors_mean = mean(donors, na.rm = TRUE),
donors_sd = sd(donors, na.rm = TRUE),
gdp_mean = mean(gdp, na.rm = TRUE),
health_mean = mean(health, na.rm = TRUE),
roads_mean = mean(roads, na.rm = TRUE),
cerebvas_mean = mean(cerebvas, na.rm = TRUE))
# Doing the same in another better way
by_country <- organdata %>%
group_by(consent_law, country) %>%
summarize_if(is.numeric, list(mean, sd), na.rm = TRUE) %>% # list instead funs
ungroup()
by_country # vars are named using the original variable, with the function’s name appended| consent_law | country | donors_fn1 | pop_fn1 | pop_dens_fn1 | gdp_fn1 | gdp_lag_fn1 | health_fn1 | health_lag_fn1 | pubhealth_fn1 | roads_fn1 | cerebvas_fn1 | assault_fn1 | external_fn1 | txp_pop_fn1 | donors_fn2 | pop_fn2 | pop_dens_fn2 | gdp_fn2 | gdp_lag_fn2 | health_fn2 | health_lag_fn2 | pubhealth_fn2 | roads_fn2 | cerebvas_fn2 | assault_fn2 | external_fn2 | txp_pop_fn2 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Informed | Australia | 10.63500 | 18317.923 | 0.2366284 | 22178.54 | 21779.43 | 1957.500 | 1848.214 | 5.676923 | 104.87573 | 557.6923 | 16.769231 | 393.0000 | 0.8751195 | 1.1428075 | 830.89394 | 0.0107334 | 3958.506 | 4085.883 | 481.6276 | 460.0962 | 0.4245661 | 14.327316 | 82.69863 | 1.8327505 | 26.76440 | 0.0396299 |
| Informed | Canada | 13.96667 | 29607.923 | 0.2969520 | 23711.08 | 23353.07 | 2271.929 | 2163.429 | 6.676923 | 109.26011 | 422.3846 | 16.769231 | 410.6154 | 1.0485954 | 0.7511607 | 1192.74791 | 0.0119626 | 3965.847 | 4038.868 | 420.5751 | 379.1317 | 0.3919053 | 17.679258 | 38.46544 | 2.4547181 | 40.76873 | 0.0424701 |
| Informed | Denmark | 13.09167 | 5257.154 | 12.2004034 | 23722.31 | 23275.00 | 2054.071 | 1973.429 | 6.984615 | 101.63635 | 640.6923 | 12.230769 | 532.3846 | 0.7610332 | 1.4681208 | 80.60691 | 0.1870664 | 3895.685 | 4100.016 | 371.3614 | 357.7605 | 0.1519109 | 12.421001 | 46.27163 | 2.1273554 | 33.60441 | 0.0116730 |
| Informed | Germany | 13.04167 | 80254.846 | 22.4784601 | 22163.23 | 21938.36 | 2348.750 | 2256.250 | 8.142308 | 112.78873 | 706.7692 | 9.538462 | 391.3077 | 0.5508479 | 0.6111960 | 5157.63285 | 1.4445937 | 2501.344 | 2546.250 | 377.2275 | 383.7725 | 0.6244485 | 25.911094 | 126.03515 | 1.6641006 | 56.97424 | 0.0437534 |
| Informed | Ireland | 19.79167 | 3673.615 | 5.2278574 | 20824.38 | 20153.64 | 1479.929 | 1340.786 | 4.876923 | 117.77424 | 704.6923 | 8.538462 | 394.0000 | 0.8175829 | 2.4784373 | 131.59378 | 0.1872688 | 6669.580 | 6881.862 | 565.5526 | 482.4379 | 0.2862221 | 10.761587 | 87.20320 | 1.5607362 | 18.85471 | 0.0287060 |
| Informed | Netherlands | 13.65833 | 15547.692 | 37.4372557 | 23013.15 | 22553.64 | 1992.786 | 1884.857 | 5.700000 | 76.09357 | 584.9231 | 11.153846 | 285.8462 | 0.7078763 | 1.5518074 | 372.96434 | 0.8980600 | 3769.961 | 4009.418 | 417.0621 | 377.0521 | 0.3082207 | 9.930020 | 52.23259 | 1.3445045 | 18.62725 | 0.0169759 |
| Informed | United Kingdom | 13.49167 | 58186.692 | 23.9540127 | 21359.31 | 20962.50 | 1561.214 | 1463.500 | 5.761539 | 67.92936 | 707.9231 | 8.923077 | 287.9231 | 0.7047037 | 0.7751344 | 626.34567 | 0.2578509 | 3929.497 | 4056.793 | 405.0679 | 374.9447 | 0.3548203 | 10.467402 | 93.43577 | 1.6563785 | 15.14079 | 0.0075729 |
| Informed | United States | 19.98167 | 269329.769 | 2.7970428 | 29211.77 | 28699.43 | 3988.286 | 3760.429 | 5.776923 | 155.16783 | 444.3846 | 80.384615 | 530.0000 | 1.0193884 | 1.3253667 | 12544.86916 | 0.1302809 | 4571.160 | 4791.979 | 864.9320 | 807.5220 | 0.4621577 | 8.353810 | 16.04960 | 17.8724111 | 32.15587 | 0.0476772 |
| Presumed | Austria | 23.52500 | 7927.308 | 9.4530261 | 23875.85 | 23415.07 | 1875.357 | 1803.143 | 5.492308 | 149.86541 | 768.8462 | 10.923077 | 506.8462 | 0.6308434 | 2.4159037 | 109.19507 | 0.1302112 | 3342.889 | 3645.228 | 296.8980 | 316.8549 | 0.2660249 | 30.281692 | 119.64242 | 2.3259958 | 62.13540 | 0.0088249 |
| Presumed | Belgium | 21.90000 | 10153.308 | 30.6746456 | 22499.62 | 22095.93 | 1958.357 | 1862.429 | 6.188889 | 154.69504 | 593.8462 | 14.307692 | 541.6154 | 0.7880048 | 1.9357874 | 109.16378 | 0.3297999 | 3170.584 | 3400.119 | 405.1142 | 403.2977 | 0.2027588 | 20.556129 | 55.24920 | 3.6602508 | 22.87116 | 0.0084838 |
| Presumed | Finland | 18.44167 | 5111.846 | 1.5117096 | 21018.92 | 20763.00 | 1615.286 | 1559.786 | 5.861538 | 93.57447 | 771.3846 | 27.461538 | 721.9231 | 0.5869704 | 1.5264089 | 68.62561 | 0.0202944 | 3667.866 | 3651.757 | 202.9780 | 181.5384 | 0.7274825 | 19.007381 | 136.47865 | 3.2304640 | 66.87234 | 0.0079285 |
| Presumed | France | 16.75833 | 58055.692 | 10.5268708 | 22602.85 | 22210.71 | 2159.643 | 2066.429 | 7.076923 | 156.15327 | 432.6923 | 8.923077 | 602.6923 | 0.7063585 | 1.5974174 | 851.44929 | 0.1543879 | 3260.346 | 3459.035 | 397.2170 | 371.9650 | 0.2241794 | 20.063260 | 54.53345 | 1.6563785 | 46.63758 | 0.0103484 |
| Presumed | Italy | 11.10000 | 57359.692 | 19.0348750 | 21554.15 | 21194.93 | 1757.000 | 1689.071 | 5.984615 | 121.94294 | 712.1538 | 14.923077 | 368.8462 | 0.4533029 | 4.2769998 | 424.68309 | 0.1409315 | 2781.309 | 2991.191 | 271.2379 | 264.0039 | 0.4469268 | 10.157891 | 118.03237 | 5.9646394 | 42.80936 | 0.0033601 |
| Presumed | Norway | 15.44167 | 4386.231 | 1.3542765 | 26448.38 | 25769.36 | 2217.214 | 2125.429 | 6.830769 | 69.99821 | 661.6154 | 9.538462 | 423.3077 | 0.2280896 | 1.1090195 | 97.25752 | 0.0300289 | 6491.668 | 6734.625 | 606.2047 | 663.5244 | 0.3065524 | 6.676658 | 100.37890 | 2.4703368 | 43.53999 | 0.0050521 |
| Presumed | Spain | 28.10833 | 39666.231 | 7.8393310 | 16933.00 | 16584.29 | 1289.071 | 1220.071 | 5.453846 | 161.11430 | 654.7692 | 8.692308 | 376.6154 | 0.7062535 | 4.9630376 | 950.90309 | 0.1879292 | 2888.343 | 3066.466 | 265.8960 | 269.3863 | 0.1450022 | 35.251103 | 138.65013 | 0.9473309 | 35.16281 | 0.0164238 |
| Presumed | Sweden | 13.12500 | 8789.231 | 1.9533360 | 22415.46 | 22094.00 | 1951.357 | 1868.000 | 7.315385 | 72.34575 | 595.3077 | 11.153846 | 395.8462 | 0.6827600 | 1.7535030 | 113.62376 | 0.0252520 | 3213.468 | 3313.422 | 372.9790 | 329.3088 | 0.2303843 | 13.246920 | 49.68465 | 1.6756170 | 37.58733 | 0.0089211 |
| Presumed | Switzerland | 14.18250 | 7036.846 | 17.0424949 | 27233.00 | 26931.29 | 2776.071 | 2655.643 | 5.423077 | 96.38543 | 423.5385 | 10.769231 | 488.2308 | 0.9953044 | 1.7090940 | 169.77330 | 0.4111729 | 2153.454 | 2356.923 | 475.6701 | 464.0117 | 0.6043645 | 21.701876 | 72.99956 | 3.5155333 | 96.19958 | 0.0242808 |
# Cleveland dotplot reordered and colored
p <- ggplot(data = by_country,
mapping = aes(x = donors_fn1, y = reorder(country, donors_fn1),
color = consent_law))
p + geom_point(size = 3) +
labs(x = "Donor Procurement Rate",
y = "", color = "Consent Law") +
theme(legend.position="top")
# Cleveland dotplot reordered, colored and faceted
p <- ggplot(data = by_country,
mapping = aes(x = donors_fn1,
y = reorder(country, donors_fn1)))
p + geom_point(size=3) +
facet_wrap(~ consent_law, scales = "free_y", ncol = 1) + # col arg to make panels appear on top of other and make y-scale free; where one axis is categorical, as here, we can free the categorical axis and leave the continuous one fixed
labs(x= "Donor Procurement Rate",
y= "")
# Dot-and-whisker plot
p <- ggplot(data = by_country, mapping = aes(x = reorder(country,
donors_fn1), y = donors_fn1))
p + geom_pointrange(mapping = aes(ymin = donors_fn1 - donors_fn2, # how us a point estimate and a range around it
ymax = donors_fn1 + donors_fn2)) +
labs(x= "", y= "Donor Procurement Rate") + coord_flip()
3.2.3 Plot Text Directly
The ggrepel package provides geom_text_repel() and geom_label_repel(), two geoms that can pick out labels much more flexibly than the default geom_text(). The ggrepel package has several other useful geoms and options to aid with effectively plotting labels along with points. The performance of its labeling algorithm is consistently very good. For many purposes it will be a better first choice than geom_text().
elections_historic %>% select(2:7) | year | winner | win_party | ec_pct | popular_pct | popular_margin |
|---|---|---|---|---|---|
| 1824 | John Quincy Adams | D.-R. | 0.3218 | 0.3092 | -0.1044 |
| 1828 | Andrew Jackson | Dem. | 0.6820 | 0.5593 | 0.1225 |
| 1832 | Andrew Jackson | Dem. | 0.7657 | 0.5474 | 0.1781 |
| 1836 | Martin Van Buren | Dem. | 0.5782 | 0.5079 | 0.1420 |
| 1840 | William Henry Harrison | Whig | 0.7959 | 0.5287 | 0.0605 |
| 1844 | James Polk | Dem. | 0.6182 | 0.4954 | 0.0145 |
| 1848 | Zachary Taylor | Whig | 0.5621 | 0.4728 | 0.0479 |
| 1852 | Franklin Pierce | Dem. | 0.8581 | 0.5083 | 0.0695 |
| 1856 | James Buchanan | Dem. | 0.5878 | 0.4529 | 0.1220 |
| 1860 | Abraham Lincoln | Rep. | 0.5941 | 0.3965 | 0.1013 |
| 1864 | Abraham Lincoln | Rep. | 0.9099 | 0.5503 | 0.1008 |
| 1868 | Ulysses Grant | Rep. | 0.7279 | 0.5266 | 0.0532 |
| 1872 | Ulysses Grant | Rep. | 0.8125 | 0.5558 | 0.1180 |
| 1876 | Rutherford Hayes | Rep. | 0.5014 | 0.4792 | -0.0300 |
| 1880 | James Garfield | Rep. | 0.5799 | 0.4831 | 0.0009 |
| 1884 | Grover Cleveland | Dem. | 0.5461 | 0.4885 | 0.0057 |
| 1888 | Benjamin Harrison | Rep. | 0.5810 | 0.4780 | -0.0830 |
| 1892 | Grover Cleveland | Dem. | 0.6239 | 0.4602 | 0.0301 |
| 1896 | William McKinley | Rep. | 0.6063 | 0.5102 | 0.0431 |
| 1900 | William McKinley | Rep. | 0.6523 | 0.5164 | 0.0612 |
| 1904 | Theodore Roosevelt | Rep. | 0.7059 | 0.5642 | 0.1883 |
| 1908 | William Taft | Rep. | 0.6646 | 0.5157 | 0.0853 |
| 1912 | Woodrow Wilson | Dem. | 0.8192 | 0.4184 | 0.1444 |
| 1916 | Woodrow Wilson | Dem. | 0.5217 | 0.4924 | 0.0312 |
| 1920 | Warren Harding | Rep. | 0.7608 | 0.6032 | 0.2617 |
| 1924 | Calvin Coolidge | Rep. | 0.7194 | 0.5404 | 0.2522 |
| 1928 | Herbert Hoover | Rep. | 0.8362 | 0.5821 | 0.1741 |
| 1932 | Franklin Roosevelt | Dem. | 0.8889 | 0.5741 | 0.1776 |
| 1936 | Franklin Roosevelt | Dem. | 0.9849 | 0.6080 | 0.2426 |
| 1940 | Franklin Roosevelt | Dem. | 0.8456 | 0.5474 | 0.0996 |
| 1944 | Franklin Roosevelt | Dem. | 0.8136 | 0.5339 | 0.0750 |
| 1948 | Harry Truman | Dem. | 0.5706 | 0.4955 | 0.0448 |
| 1952 | Dwight Eisenhower | Rep. | 0.8324 | 0.5518 | 0.1085 |
| 1956 | Dwight Eisenhower | Rep. | 0.8606 | 0.5737 | 0.1540 |
| 1960 | John Kennedy | Dem. | 0.5642 | 0.4972 | 0.0017 |
| 1964 | Lyndon Johnson | Dem. | 0.9033 | 0.6105 | 0.2258 |
| 1968 | Richard Nixon | Rep. | 0.5595 | 0.4342 | 0.0070 |
| 1972 | Richard Nixon | Rep. | 0.9665 | 0.6067 | 0.2315 |
| 1976 | Jimmy Carter | Dem. | 0.5520 | 0.5008 | 0.0206 |
| 1980 | Ronald Reagan | Rep. | 0.9089 | 0.5075 | 0.0974 |
| 1984 | Ronald Reagan | Rep. | 0.9758 | 0.5877 | 0.1821 |
| 1988 | George H. W. Bush | Rep. | 0.7918 | 0.5337 | 0.0772 |
| 1992 | Bill Clinton | Dem. | 0.6877 | 0.4301 | 0.0556 |
| 1996 | Bill Clinton | Dem. | 0.7045 | 0.4923 | 0.0851 |
| 2000 | George W. Bush | Rep. | 0.5037 | 0.4787 | -0.0510 |
| 2004 | George W. Bush | Rep. | 0.5316 | 0.5073 | 0.0246 |
| 2008 | Barack Obama | Dem. | 0.6784 | 0.5293 | 0.0727 |
| 2012 | Barack Obama | Dem. | 0.6171 | 0.5106 | 0.0386 |
| 2016 | Donald Trump | Rep. | 0.5687 | 0.4625 | -0.0175 |
p_title <- "Presidential Elections: Popular & Electoral College Margins"
p_subtitle <- "1824-2016"
p_caption <- "Data for 2016 are provisional."
x_label <- "Winner's share of Popular Vote"
y_label <- "Winner's share of Electoral College Votes"
p <- ggplot(elections_historic, aes(x = popular_pct, y = ec_pct,
label = winner_label))
p + geom_hline(yintercept = 0.5, size = 1.4, color = "gray80") + # two new geoms, geom_hline() and geom_vline() to make the lines. see also geom_abline() geom that draws straight lines based on a supplied slope and intercept
geom_vline(xintercept = 0.5, size = 1.4, color = "gray80") +
geom_point() +
geom_text_repel() +
scale_x_continuous(labels = scales::percent) +
scale_y_continuous(labels = scales::percent) +
labs(x = x_label, y = y_label, title = p_title, subtitle = p_subtitle,
caption = p_caption)
3.2.4 Label Outliers
Sometimes we want to pick out some points of interest in the data without labeling every single item. Alternatively, we can pick out specific points by creating a dummy variable in the data set just for this purpose.
p <- ggplot(data = by_country,
mapping = aes(x = gdp_fn1, y = health_fn1))
# Using subset to filter the data
p + geom_point() +
geom_text_repel(data = subset(by_country, gdp_fn1 > 25000),
mapping = aes(label = country))
p <- ggplot(data = by_country,
mapping = aes(x = gdp_fn1, y = health_fn1))
p + geom_point() +
geom_text_repel(data = subset(by_country,
gdp_fn1 > 25000 | health_fn1 < 1500 |
country %in% "Belgium"),
mapping = aes(label = country))
# Creating a dummy variable to subset the data
organdata$ind <- organdata$ccode %in% c("Ita", "Spa") &
organdata$year > 1998
p <- ggplot(data = organdata,
mapping = aes(x = roads,
y = donors, color = ind))
p + geom_point() +
geom_text_repel(data = subset(organdata, ind),
mapping = aes(label = ccode)) +
guides(label = FALSE, color = FALSE)
3.2.5 Write and draw in the plot area
Sometimes we want to annotate the figure directly.We use annotate() for this purpose. We will tell annotate() to use a text geom temporarily taking advantage of their features in order to place something on the plot. The annotate() function can work with other geoms, too. The most obvious use-case is putting arbitrary text on the plot.
p <- ggplot(data = organdata, mapping = aes(x = roads, y = donors))
p + geom_point() + annotate(geom = "text", x = 91, y = 33,
label = "A surprisingly high \n recovery rate.",
hjust = 0)
3.2.6 Understanding Scales, Guides, and Themes
Learning about new geoms extended what we have seen already. Each geom makes a different type of plot. Different plots require different mappings in order to work, and so each geom_ function takes mappings tailored to the kind of graph it draws. You can’t use geom_point() to make a scatterplot without supplying an x and a y mapping, for example. Using geom_histogram() only requires you to supply an x mapping. Similarly, geom_pointrange() requires ymin and ymax mappings in order to know where to draw the lineranges it makes. A geom_ function may take optional arguments, too. When using geom_boxplot() you can specify what the outliers look like using arguments like outlier.shape and outlier.color.
Now we’ll make use of new functions for controlling some aspects of the appearance of our graph.
- Every aesthetic mapping has a scale. If you want to adjust how that scale is marked or graduated, then you use a scale_ function.
- Many scales come with a legend or key to help the reader interpret the graph. These are called guides. You can make adjustments to them with the guides() function. Perhaps the most common use case is to make the legend disappear, as it is sometimes superfluous. Another is to adjust the arrangement of the key in legends and colorbars.
- Graphs have other features not strictly connected to the logical structure of the data being displayed. These include things like their background color, the typeface used for labels, or the placement of the legend on the graph. To adjust these, use the theme() function.
Consistent with ggplot’s overall approach, adjusting some visible feature of the graph means first thinking about the relationship that the feature has with the underlying data. Roughly speaking, if the change you want to make will affect the substantive interpretation of any particular geom, then most likely you will either be mapping an aesthetic to a variable using that geom’s aes() function, or you will be specifying a change via some scale_ function. If the change you want to make does not affect the interpretation of a given geom_, then most likely you will either be setting a variable inside the geom_ function, or making a cosmetic change via the theme() function.
p <- ggplot(data = organdata,
mapping = aes(x = roads,
y = donors,
color = world))
p + geom_point()
Scales and guides are closely connected, which can make things confusing. The guide provides information about the scale, such as in a legend or colorbar. Thus, it is possible to make adjustments to guides from inside the various scale_ functions. More often it is easier to use the guides() function directly.
A plot with three aesthetic mappings. The variable roads is mapped to x; donors is mapped to y; and world is mapped to color. The x and y scales are both continuous, running smoothly from just under the lowest value of the variable to just over the highest value. Various labeled tick marks orient the reader to the values on each axis. The color mapping also has a scale. The world measure is an unordered categorical variable, so its scale is discrete. It takes one of four values, each represented by a different color.
Along with color, mappings like fill, shape, and size will have scales that we might want to customize or adjust. We could have mapped world to shape instead of color. In that case our four-category variable would have a scale consisting of four different shapes. Scales for these mappings may have labels, axis tick marks at particular positions, or specific colors or shapes. If we want to adjust them, we use one of the scale_ functions.
Many different kinds of variable can be mapped. More often than not x and y are continuous measures. But they might also easily be discrete, as when we mapped country names to the y axis in our boxplots and dotplots. An x or y mapping can also be defined as a transformation onto a log scale, or as a special sort of number value like a date. Similarly, a color or a fill mapping can be discrete and unordered, as with our world variable, or discrete and ordered, as with letter grades in an exam. A color or fill mapping can also be a continuous quantity, represented as a gradient running smoothly from a low to a high value. Finally, both continuous gradients and ordered discrete values might have some defined neutral midpoint with extremes diverging in both directions.
Because we have several potential mappings, and each mapping might be to one of several different scales, we end up with a lot of individual scale_ functions. Each deals with one combination of mapping and scale. They are named according to a consistent logic: *scale_
If you want to adjust the labels or tick marks on a scale, you will need to know which mapping it is for and what sort of scale it is. Then you supply the arguments to the appropriate scale function. For example, we can change the x-axis of the previous plot to a log scale, and then also change the position and labels of the tick marks on the y-axis.
p <- ggplot(data = organdata,
mapping = aes(x = roads,
y = donors,
color = world))
p + geom_point() +
scale_x_log10() +
scale_y_continuous(breaks = c(5, 15, 25),
labels = c("Five", "Fifteen", "Twenty Five"))
The same applies to mappings like color and fill. Here the available scale_ functions include ones that deal with continuous, diverging, and discrete variables, as well as others that we will encounter later when we discuss the use of color and color palettes in more detail. When working with a scale that produces a legend, we can also use this its scale_ function to specify the labels in the key. To change the title of the legend, however, we use the labs() function, which lets us label all the mappings.
p <- ggplot(data = organdata,
mapping = aes(x = roads,
y = donors,
color = world))
p + geom_point() +
scale_color_discrete(labels =
c("Corporatist", "Liberal",
"Social Democratic", "Unclassified")) +
labs(x = "Road Deaths",
y = "Donor Procurement",
color = "Welfare State")
If we want to move the legend somewhere else on the plot, we are making a purely cosmetic decision and that is the job of the theme() function. As we have already seen, adding + theme(legend.position = “top”) will move the legend as instructed. Finally, to make the legend disappear altogether, we tell ggplot that we do not want a guide for that scale.
We will use scale_ functions fairly regularly to make small adjustments to the labels and axes of our graphs. And we will occasionally use the theme() function to make some cosmetic adjustments.
p <- ggplot(data = organdata,
mapping = aes(x = roads,
y = donors,
color = world))
p + geom_point() +
labs(x = "Road Deaths",
y = "Donor Procurement") +
guides(color = FALSE)
3.3 Refine your plots
# Progressive enhancements of the same plot
# v1
p <- ggplot(data = subset(asasec, Year == 2014),
mapping = aes(x = Members, y = Revenues, label = Sname))
p + geom_point() + geom_smooth()
## `geom_smooth()` using method = 'loess' and formula 'y ~ x'
# v2
p <- ggplot(data = subset(asasec, Year == 2014),
mapping = aes(x = Members, y = Revenues, label = Sname))
p + geom_point(mapping = aes(color = Journal)) +
geom_smooth(method = "lm")
# v3:
p0 <- ggplot(data = subset(asasec, Year == 2014),
mapping = aes(x = Members, y = Revenues, label = Sname))
p1 <- p0 + geom_smooth(method = "lm", se = FALSE, color = "gray80") +
geom_point(mapping = aes(color = Journal))
# v4
p2 <- p1 + geom_text_repel(data=subset(asasec,
Year == 2014 & Revenues > 7000),
size = 2)
p2
# v5
p3 <- p2 + labs(x="Membership",
y="Revenues",
color = "Section has own Journal",
title = "ASA Sections",
subtitle = "2014 Calendar year.",
caption = "Source: ASA annual report.")
p4 <- p3 + scale_y_continuous(labels = scales::dollar) +
theme(legend.position = "bottom")
p4
3.3.1 Use color to your advantage
You should choose a color palette in the first place based on its ability to express the data you are plotting. Take care to choose a palette that reflects the structure of your data. Separate from these mapping issues, there are considerations about which colors in particular to choose. In general, the default color palettes that ggplot makes available are well-chosen for their perceptual properties and aesthetic qualities. We can also use color and color layers as device for emphasis, to highlight particular data points or parts of the plot, perhaps in conjunction with other features.
We choose color palettes for mappings through one of the scale_ functions for color or fill. While it is possible to very finely control the look of your color schemes by varying the hue, chroma, and luminance of each color you use via scale_color_hue(), or scale_fill_hue(), in general this is not recommended. Instead you should use the RColorBrewer package to make a wide range of named color palettes available to you. When used in conjunction with ggplot, you access these colors by specifying the scale_color_brewer() or scale_fill_brewer() functions, depending on the aesthetic you are mapping.
You can also specify colors manually, via scale_color_manual() or scale_fill_manual(). These functions take a value argument that can be specified as vector of color names or color values that R knows about. The ability to manually specify colors can be useful when the meaning of a category itself has a strong color association. R knows many color names (like red, and green, and cornflowerblue. Try demo(‘colors’) for an overview. Alternatively, color values can be specified via their hexadecimal RGB value. This is a way of encoding color values in the RGB colorspace, where each channel can take a value from 0 to 255 like this. A color hex value begins with a hash or pound character, #, followed by three pairs of hexadecimal or “hex” numbers. Hex values are in Base 16, with the first six letters of the alphabet standing for the numbers 10 to 15. This allows a two-character hex number to range from 0 to 255. You read them as #rrggbb, where rr is the two-digit hex code for the red channel, gg for the green channel, and bb for the blue channel. So #CC55DD translates in decimal to CC = 204 (red), 55 = 85 (green), and DD = 221 (blue). It gives a strong pink color.
If we are serious about using a safe palette for color-blind viewers, we should investigate the dichromat package (The colorblindr package has similar functionality) instead. It provides a range of safe palettes and some useful functions for helping you approximately see what your current palette might look like to a viewer with one of several different kinds of color blindness.
p <- ggplot(data = organdata,
mapping = aes(x = roads, y = donors, color = world))
p + geom_point(size = 2) + scale_color_brewer(palette = "Set2") +
theme(legend.position = "top")
p + geom_point(size = 2) + scale_color_brewer(palette = "Pastel2") +
theme(legend.position = "top")
p + geom_point(size = 2) + scale_color_brewer(palette = "Dark2") +
theme(legend.position = "top")
# Defining your own palette
cb_palette <- c("#999999", "#E69F00", "#56B4E9", "#009E73",
"#F0E442", "#0072B2", "#D55E00", "#CC79A7")
p4 + scale_color_manual(values = cb_palette)
# Setting default color palette
Default <- brewer.pal(5, "Set2")
# safety colors from dichromat
types <- c("deutan", "protan", "tritan")
names(types) <- c("Deuteronopia", "Protanopia", "Tritanopia")
color_table <- types %>%
purrr::map(~ dichromat(Default, .x)) %>%
as_tibble() %>%
add_column(Default, .before = TRUE)
color_table| Default | Deuteronopia | Protanopia | Tritanopia |
|---|---|---|---|
| #66C2A5 | #AEAEA7 | #BABAA5 | #82BDBD |
| #FC8D62 | #B6B661 | #9E9E63 | #F29494 |
| #8DA0CB | #9C9CCB | #9E9ECB | #92ABAB |
| #E78AC3 | #ACACC1 | #9898C3 | #DA9C9C |
| #A6D854 | #CACA5E | #D3D355 | #B6C8C8 |
color_comp(color_table)
3.3.2 Layer color and text together
Aside from mapping variables directly, color is also very useful when we want to pick out or highlight some aspect of our data. In cases like this that the layered approach of ggplot can really work to our advantage.
We will build up a plot of data about the 2016 US general election. It is contained in the county_data object in the socviz library. We begin by defining a blue and red color for the Democrats and Republicans. Then we create the basic setup and first layer of the plot. We subset the data, including only counties with a value of “No” on the flipped variable. We set the color of geom_point() to be a light gray, as it will form the background layer of the plot. And we apply a log transformation to the x-axis scale.
In the next step we add a second geom_point() layer. Here we start with the same dataset but extract a complementary subset from it. This time we choose the “Yes” counties on the flipped variable. The x and y mappings are the same, but we add a color scale for these points, mapping the partywinner16 variable to the color aesthetic. Then we specify a manual color scale with scale_color_manual(), where the values are the blue and red party_colors we defined above.
The next layer sets the y-axis scale and the labels.
Finally, we add a third layer using the geom_text_repel() function. Once again we supply a set of instructions to subset the data for this text layer. We are interested in the flipped counties that have with a relatively high percentage of African-American residents.
# Democrat Blue and Republican Red
party_colors <- c("#2E74C0", "#CB454A")
p0 <- ggplot(data = subset(county_data,
flipped == "No"),
mapping = aes(x = pop,
y = black/100))
p1 <- p0 + geom_point(alpha = 0.15, color = "gray50") +
scale_x_log10(labels=scales::comma)
p1
p2 <- p1 + geom_point(data = subset(county_data,
flipped == "Yes"),
mapping = aes(x = pop, y = black/100,
color = partywinner16)) +
scale_color_manual(values = party_colors)
p2
p3 <- p2 + scale_y_continuous(labels=scales::percent) +
labs(color = "County flipped to ... ",
x = "County Population (log scale)",
y = "Percent Black Population",
title = "Flipped counties, 2016",
caption = "Counties in gray did not flip.")
p3
p4 <- p3 + geom_text_repel(data = subset(county_data,
flipped == "Yes" &
black > 25),
mapping = aes(x = pop,
y = black/100,
label = state), size = 2)
p4 + theme_minimal() +
theme(legend.position="top")
3.3.3 Change the appearance of plots with themes
If we want to change the overall look of it all at once, we can do that using ggplot’s theme engine. Themes can be turned on or off using the theme_set() function. It takes the name of a theme (which will itself be a function) as an argument.
Internally, theme functions are a set of detailed instructions to turn on, turn off, or modify a large number of graphical elements on the plot. Once set, a theme applies to all subsequent plots and it remains active until it is replaced by a different theme. This be done either through the use of another theme_set() statement, or on a per-plot basis by adding the theme function to the end of the plot: p4 + theme_gray() would temporarily override the generally active theme for the p4 object only. You can still use the theme() function to fine-tune any aspect of your plot, as seen above with the relocation of the legend to the top of the graph.
The ggplot library comes with several built-in themes, including theme_minimal() and theme_classic(), with theme_gray() or theme_grey() as the default. If these are not to your taste, install the ggthemes library for many more options.
You can define your own themes either entirely from scratch, or by starting with one you like and making adjustments from there.
Wilke’s cowplot package, for instance, contains a well-developed theme suitable for figures whose final destination is a journal article. Bob Rudis’s hrbrthemes package, meanwhile, has a distinctive and compact look and feel that takes advantage of some freely-available typefaces.
The theme() function allows you to exert very fine-grained control over the appearance of all kinds of text and graphical elements in a plot.
# theme_set(theme_bw())
# p4 + theme(legend.position="top")
#
# theme_set(theme_dark())
# p4 + theme(legend.position="top")
#
# theme_set(theme_economist())
# p4 + theme(legend.position="top")
# theme_set(theme_wsj())
p4 + theme(plot.title = element_text(size = rel(0.6)),
legend.title = element_text(size = rel(0.35)),
plot.caption = element_text(size = rel(0.35)),
legend.position = "top")
p4 + theme(legend.position = "top")
p4 + theme(legend.position = "top",
plot.title = element_text(size=rel(2),
lineheight=.5,
family="Times",
face="bold.italic",
colour="orange"),
axis.text.x = element_text(size=rel(1.1),
family="Courier",
face="bold",
color="purple"))
### Use Theme Elements in a Substantive Way
The gss_lon data contains information on the age of each GSS respondent for all the years in the survey since 1972. We will fill the density curves with a dark grey color, and then add an indicator of the mean age in each year, and a text layer for the label. With those in place we then adjust the detail of several theme elements, mostly to remove them. As before we use element_text() to tweak the appearance of various text elements such as titles and labels. And we also use element_blank() to remove several of them altogether. First, we need to calculate the mean age of the respondents for each year of interest. Because the GSS has been around for most (but not all) years since 1972, we will look at distributions about every four years since the beginning.
The initial p object subsets the data by the years we have chosen, and maps x to the age variable. The geom_density() call is the base layer, with arguments to turn off its default line color, set the fill to a shade of gray, and scale the y-axis between zero and one. Using our summarized dataset, the geom_vline() layer draws a vertical white line at the mean age of the distribution.
The ggridges package offers a different take on small-multiple density plots by allowing the distributions to overlap vertically to interesting effect. It is especially useful for repeated distributional measures that change in a clear direction. The expand argument in scale_y_discrete() adjusts the scaling of the y-axis slightly. The package also comes with its own theme, theme_ridges() that adjusts the labels so that they are aligned properly. The degree of overlap in the distributions is controlled by the scale argument in the geom.
Setting these thematic elements in an ad hoc way is often one of the first things people want to do when they make plot. But making small adjustments to theme elements should be the very last thing you do in the plotting process. Ideally, once you have set up a theme that works well for you, it should be something you can avoid having to do at all.
yrs <- c(seq(1972, 1988, 4), 1993, seq(1996, 2016, 4))
yrs## [1] 1972 1976 1980 1984 1988 1993 1996 2000 2004 2008 2012 2016mean_age <- gss_lon %>%
filter(age %nin% NA && year %in% yrs) %>%
group_by(year) %>%
summarize(xbar = round(mean(age, na.rm = TRUE), 0))
mean_age| year | xbar |
|---|---|
| 1972 | 45 |
| 1973 | 44 |
| 1974 | 45 |
| 1975 | 44 |
| 1976 | 45 |
| 1977 | 45 |
| 1978 | 44 |
| 1980 | 45 |
| 1982 | 45 |
| 1983 | 44 |
| 1984 | 44 |
| 1985 | 46 |
| 1986 | 45 |
| 1987 | 45 |
| 1988 | 45 |
| 1989 | 45 |
| 1990 | 46 |
| 1991 | 46 |
| 1993 | 46 |
| 1994 | 46 |
| 1996 | 45 |
| 1998 | 46 |
| 2000 | 46 |
| 2002 | 46 |
| 2004 | 46 |
| 2006 | 47 |
| 2008 | 48 |
| 2010 | 48 |
| 2012 | 48 |
| 2014 | 49 |
| 2016 | 49 |
mean_age$y <- 0.3
yr_labs <- data.frame(x = 85, y = 0.8,
year = yrs)
# First, we create the plot structure
p <- ggplot(data = subset(gss_lon, year %in% yrs),
mapping = aes(x = age))
p1 <- p + geom_density(fill = "gray20", color = FALSE,
alpha = 0.9, mapping = aes(y = ..scaled..)) +
geom_vline(data = subset(mean_age, year %in% yrs),
aes(xintercept = xbar), color = "white", size = 0.5) +
geom_text(data = subset(mean_age, year %in% yrs),
aes(x = xbar, y = y, label = xbar), nudge_x = 7.5,
color = "white", size = 3.5, hjust = 1) +
geom_text(data = subset(yr_labs, year %in% yrs),
aes(x = x, y = y, label = year)) +
facet_grid(year ~ ., switch = "y")
# With the structure of the plot in place, we then style the elements in the way that we want, using a series of instructions to theme().
# p1 + theme_book(base_size = 10, plot_title_size = 10,
# strip_text_size = 32, panel_spacing = unit(0.1, "lines")) +
# theme(plot.title = element_text(size = 16),
# axis.text.x= element_text(size = 12),
# axis.title.y=element_blank(),
# axis.text.y=element_blank(),
# axis.ticks.y = element_blank(),
# strip.background = element_blank(),
# strip.text.y = element_blank(),
# panel.grid.major = element_blank(),
# panel.grid.minor = element_blank()) +
# labs(x = "Age",
# y = NULL,
# title = "Age Distribution of\nGSS Respondents")
# Using the ggridges package
p <- ggplot(data = gss_lon,
mapping = aes(x = age, y = factor(year, levels = rev(unique(year)),
ordered = TRUE)))
p + geom_density_ridges(alpha = 0.6, fill = "lightblue", scale = 1.5) +
scale_x_continuous(breaks = c(25, 50, 75)) +
scale_y_discrete(expand = c(0.01, 0)) +
labs(x = "Age", y = NULL,
title = "Age Distribution of\nGSS Respondents") +
theme_ridges() +
theme(title = element_text(size = 16, face = "bold"))
### Case Studies #### Two y-axes R makes it slightly tricky to draw graphs with two y-axes. In fact, ggplot rules it out of order altogether. It is possible to do it using R’s base graphics. Most of the time when people draw plots with two y-axes they want to line the series up as closely as possible because they suspect that there’s a substantive association between them. The main problem with using two y-axes is that it makes it even easier than usual to fool yourself (or someone else) about the degree of association between the variables. This is because you can adjust the scaling of the axes to relative to one another in way that moves the data series around more or less however you like.
We could use a split- or broken-axis plot to show the two series at the same time. These can be effective sometimes, and they seem to have better perceptual properties than overlayed charts with dual axes. Another compromise, if the series are not in the same units (or of widely differing magnitudes), is to rescale one of the series (e.g., by dividing or multiplying it by a thousand), or alternatively to index each of them to 100 at the start of the first period, and then plot them both. Index numbers can have complications of their own, but here they allow us use one axis instead of two, and also to calculate a sensible difference between the two series and plot that as well.
Now we have our two plots, we want to lay them out nicely. We do not want them to appear in the same plot area, but we do want to compare them. It would be possible to do this with a facet, but that would mean doing a fair amount of data munging to get all three series (the two indices and the difference between them) into the same tidy data frame. An alternative is to make two separate plots and then arrange them just as we like. The cowplot library makes things easy. It has a plot_grid() function that works much like grid.arrange() while also taking care of some fine details, including the proper alignment of axes across separate plot objects.
The broader problem with dual-axis plots of this sort is that the apparent association between these variables is probably spurious. The original plot is enabling our desire to spot patterns, but substantively it is probably the case that both of these time series are tending to increase, but are not otherwise related in any deep way. The use of dual axes is not recommended in general because is already much too easy to present spurious, or at least overconfident, associations, especially with time series data. Scatterplots can do that just fine. Even with a single series, we can make associations look steeper or flatter by fiddling with the aspect ratio. Using two y-axes gives you an extra degree of freedom to mess about with the data.
# Tidying data
head(fredts)| date | sp500 | monbase | sp500_i | monbase_i |
|---|---|---|---|---|
| 2009-03-11 | 696.68 | 1542228 | 100.0000 | 100.0000 |
| 2009-03-18 | 766.73 | 1693133 | 110.0548 | 109.7849 |
| 2009-03-25 | 799.10 | 1693133 | 114.7012 | 109.7849 |
| 2009-04-01 | 809.06 | 1733017 | 116.1308 | 112.3710 |
| 2009-04-08 | 830.61 | 1733017 | 119.2240 | 112.3710 |
| 2009-04-15 | 852.21 | 1789878 | 122.3245 | 116.0579 |
fredts_m <- fredts %>% select(date, sp500_i, monbase_i) %>%
gather(key = series, value = score, sp500_i:monbase_i)
head(fredts_m)| date | series | score |
|---|---|---|
| 2009-03-11 | sp500_i | 100.0000 |
| 2009-03-18 | sp500_i | 110.0548 |
| 2009-03-25 | sp500_i | 114.7012 |
| 2009-04-01 | sp500_i | 116.1308 |
| 2009-04-08 | sp500_i | 119.2240 |
| 2009-04-15 | sp500_i | 122.3245 |
# Plotting
p <- ggplot(data = fredts_m,
mapping = aes(x = date, y = score,
group = series,
color = series))
p1 <- p + geom_line() + theme(legend.position = "top") +
labs(x = "Date",
y = "Index",
color = "Series")
p <- ggplot(data = fredts,
mapping = aes(x = date, y = sp500_i - monbase_i))
p2 <- p + geom_line() +
labs(x = "Date",
y = "Difference")
cowplot::plot_grid(p1, p2, nrow = 2, rel_heights = c(0.75, 0.25), align = "v") # arrange the plots 
#### Redrawing a bad slide To redraw the chart I took the numbers from the bars on the chart together with employee data from QZ.com. Where there was quarterly data in the slide, I used the end-of-year number for employees, except for 2012. Mayer was appointed in July of 2012. Ideally we would have quarterly revenue and quarterly employee data for all years, but given that we do not, the most sensible thing to do is to keep things annualized except for the one year of interest, when Mayer arrives as CEO. It’s worth doing this because otherwise the large round of layoffs that immediately preceded her arrival would be misattributed to her tenure as CEO. The redrawing is straightforward. We could just draw a scatterplot and color the points by whether Mayer was CEO at the time. We can take a small step further by making a scatterplot but also holding on to the temporal element. We can use geom_path() and use use line segments to “join the dots” of the yearly observations in order, labeling each point with its year.
Alternatively, we can keep the analyst community happy by putting time back on the x-axis and plotting the ratio of revenue to employees on the y-axis.
headTail(yahoo)| Year | Revenue | Employees | Mayer |
|---|---|---|---|
| 2004 | 3574 | 7600 | No |
| 2005 | 5257 | 9800 | No |
| 2006 | 6425 | 11400 | No |
| 2007 | 6969 | 14300 | No |
| … | … | … | NA |
| 2012 | 4986 | 12000 | No |
| 2012 | 4986 | 11500 | Yes |
| 2013 | 4680 | 12200 | Yes |
| 2014 | 4618 | 12500 | Yes |
p <- ggplot(data = yahoo,
mapping = aes(x = Employees, y = Revenue))
p + geom_path(color = "gray80") +
geom_text(aes(color = Mayer, label = Year), # highlight points of interest
size = 3, fontface = "bold") +
theme(legend.position = "bottom") +
labs(color = "Mayer is CEO",
x = "Employees", y = "Revenue (Millions)",
title = "Yahoo Employees vs Revenues, 2004-2014") +
scale_y_continuous(labels = scales::dollar) +
scale_x_continuous(labels = scales::comma)
# Alternative version
p <- ggplot(data = yahoo,
mapping = aes(x = Year, y = Revenue/Employees))
p + geom_vline(xintercept = 2012) +
geom_line(color = "gray60", size = 2) +
annotate("text", x = 2013, y = 0.44,
label = " Mayer becomes CEO", size = 2.5) +
labs(x = "Year\n",
y = "Revenue/Employees",
title = "Yahoo Revenue to Employee Ratio, 2004-2014")
#### Saying no to pie
There is a reasonable amount of customization in this graph. First, the text of the facets is made bold in the theme() call. The graphical element is first named (strip.text.x) and then modified using the element_text() function. We also use a custom palette for the fill mapping, via scale_fill_brewer(). And finally we relabel the facets to something more informative than their bare variable names. This is done using the labeller argument and the as_labeller() function inside the facet_grid() call. At the beginning of the plotting code, we set up an object called f_labs, which is in effect a tiny data frame that associates new labels with the values of the type variable in studebt. We use backticks (the angled quote character located next to the ‘1’ key on US keyboards) to pick out the values we want to relabel. The as_labeller() function takes this object and uses it to create new text for the labels when facet_grid() is called.
When the categorical axis labels are long, though, I generally find it’s easier to read them on the y-axis. The colors on the graph are not encoding or mapping any information in the data that is not already taken care of by the faceting. The fill mapping is useful, but also redundant. This graph could easily be in black and white, and would be just as informative if it were.
One thing that is not emphasized in a faceted chart like this is the idea that each of the debt categories is a share or percentage of a total amount.
Instead of having separate bars distinguished by heights, we can array the percentages for each distribution proportionally within a single bar. We will make a stacked bar chart. We are careful to map the income categories in an ascending sequence of colors, and to adjust the key so that the values run from low to high, from left to right, and from yellow to purple. This is done partly by switching the fill mapping from Debt to Debtrc. The categories of the latter are the same as the former, but the sequence of income levels is coded in the order we want.
The rest of the work is done in the guides() call. We give guides() a series of instructions about the fill mapping: reverse the direction of the color coding; put the legend title above the key; put the labels for the colors below the key; widen the width of the color boxes a little, and place the whole key on a single row.
head(studebt)| Debt | type | pct | Debtrc |
|---|---|---|---|
| Under $5 | Borrowers | 20 | Under $5 |
| $5-$10 | Borrowers | 17 | $5-$10 |
| $10-$25 | Borrowers | 28 | $10-$25 |
| $25-$50 | Borrowers | 19 | $25-$50 |
| $50-$75 | Borrowers | 8 | $50-$75 |
| $75-$100 | Borrowers | 3 | $75-$100 |
# setting up some labels in advance, as we will reuse them
p_xlab <- "Amount Owed, in thousands of Dollars"
p_title <- "Outstanding Student Loans"
p_subtitle <- "44 million borrowers owe a total of $1.3 trillion"
p_caption <- "Source: FRB NY"
# a special label for the facets
f_labs <- c(`Borrowers` = "Percent of\nall Borrowers",
`Balances` = "Percent of\nall Balances")
p <- ggplot(data = studebt,
mapping = aes(x = Debt, y = pct/100, fill = type))
p + geom_bar(stat = "identity") +
scale_fill_brewer(type = "qual", palette = "Dark2") +
scale_y_continuous(labels = scales::percent) +
guides(fill = FALSE) +
theme(strip.text.x = element_text(face = "bold")) +
labs(y = NULL, x = p_xlab,
caption = p_caption,
title = p_title,
subtitle = p_subtitle) +
facet_grid(~ type, labeller = as_labeller(f_labs)) +
coord_flip()
# stacked bar chart
p <- ggplot(studebt, aes(y = pct/100, x = type, fill = Debtrc)) # pct/100 to plot as pct
p + geom_bar(stat = "identity", color = "gray80") + # we set the border colors of the bars to a light gray in geom_bar() to make the bar segments easier to distinguish.
scale_x_discrete(labels = as_labeller(f_labs)) +
scale_y_continuous(labels = scales::percent) +
scale_fill_viridis(discrete = TRUE) + # using scale_fill_viridis() for the color palette
guides(fill = guide_legend(reverse = TRUE,
title.position = "top",
label.position = "bottom",
keywidth = 3,
nrow = 1)) +
labs(x = NULL, y = NULL,
fill = "Amount Owed, in thousands of dollars",
caption = p_caption,
title = p_title,
subtitle = p_subtitle) +
theme(legend.position = "top",
axis.text.y = element_text(face = "bold", hjust = 1, size = 12),
axis.ticks.length = unit(0, "cm"),
panel.grid.major.y = element_blank()) +
coord_flip()
4 Fundamentals of Data Visualization (Claus O. Wilke) + SDS 375
4.1 Aesthetic mappings
# data preparation
temperatures <- read_csv("input/tempnormals.csv")
# mapping aesthetics to data
ggplot(data = temperatures, aes(x = day_of_year, y = temperature, color = location)) +
geom_line()
ggplot(temperatures, aes(x = day_of_year, y = location, color = temperature)) +
geom_point(size = 5)
ggplot(temperatures, aes(month,temperature, color = location)) +
geom_boxplot()
ggplot(temperatures, aes(month, temperature, fill = location)) +
geom_violin() +
facet_wrap(~ location )
# Color and fill apply to different things
# Many geoms have both color and fill aesthetics
ggplot(temperatures, aes(month, temperature, color = location)) +
geom_boxplot()
ggplot(temperatures, aes(month, temperature, fill = location)) +
geom_boxplot()
# Aesthetics can also be used as parameters in geoms
ggplot(temperatures, aes(month, temperature, fill = location)) +
geom_boxplot(color = "steelblue")
4.2 Visualizing amounts
boxoffice <- tibble(
rank = 1:5,
title = c("Star Wars", "Jumanji", "Pitch Perfect 3", "Greatest Showman", "Ferdinand"),
amount = c(71.57, 36.17, 19.93, 8.81, 7.32) # million USD
)
ggplot(boxoffice, aes(title, amount)) +
geom_col()
# Order by data value
ggplot(boxoffice, aes(fct_reorder(title, amount), amount)) +
geom_col()
# Order by data value, descending
ggplot(boxoffice, aes(fct_reorder(title, -amount), amount)) +
geom_col() +
xlab(NULL) # remove x axis label
# Flip x and y, set custom x axis label
ggplot(boxoffice, aes(amount, fct_reorder(title, amount))) +
geom_col() +
xlab("amount (in million USD)") +
ylab(NULL)
# Use geom_bar() to count before plotting
ggplot(penguins, aes(y = species)) + # note: no x aesthetic defined
geom_bar()
# Getting the bars into the right order
ggplot(penguins, aes(y = fct_relevel(species, "Chinstrap", "Gentoo", "Adelie"))) + # Manually, using fct_relevel()
geom_bar() +
ylab(NULL)
ggplot(penguins, aes(y = fct_reorder(species, species, length))) + # Using fct_reorder + length
geom_bar() +
ylab(NULL)
# Display counts by species and sex
ggplot(penguins, aes(sex, fill = species)) +
geom_bar()
penguins_nomissing <- na.omit(penguins) # remove all rows with any missing values
ggplot(penguins_nomissing, aes(sex, fill = species)) +
geom_bar()
# Positions define how subgroups are shown
ggplot(penguins_nomissing, aes(sex, fill = species)) +
geom_bar(position = "dodge") # position = "dodge": Place bars for subgroups side-by-side 
ggplot(penguins_nomissing, aes(sex, fill = species)) +
geom_bar(position = "stack") # position = "stack": Place bars for subgroups on top of each other
ggplot(penguins_nomissing, aes(sex, fill = species)) +
geom_bar(position = "fill") # position = "fill": Like "stack", but scale to 100% 
4.3 Visualizing distributions
# import data
titanic <- read_csv("input/titanic.csv")
lincoln_temps <- lincoln_weather %>%
mutate(
date = ymd(CST),
month_long = Month,
month = fct_recode(
Month,
Jan = "January",
Feb = "February",
Mar = "March",
Apr = "April",
May = "May",
Jun = "June",
Jul = "July",
Aug = "August",
Sep = "September",
Oct = "October",
Nov = "November",
Dec = "December"
),
mean_temp = `Mean Temperature [F]`
) %>%
select(date, month, month_long, mean_temp) %>%
mutate(month = fct_rev(month)) # fct_recode() places levels in reverse order
# Making histograms and setting the bin width
ggplot(titanic, aes(age)) +
geom_histogram(binwidth = 5)
# Always set the center as well
ggplot(titanic, aes(age)) +
geom_histogram(
binwidth = 5, # width of the bins
center = 2.5 # center of the bin containing that value
)
# Making density plots
ggplot(titanic, aes(age)) +
geom_density(fill = "skyblue")
# Modifying bandwidth (bw) and kernel parameters
ggplot(titanic, aes(age)) +
geom_density(
fill = "skyblue",
bw = 0.5, # a small bandwidth
kernel = "gaussian" # Gaussian kernel (the default)
)
ggplot(titanic, aes(age)) +
geom_density(
fill = "skyblue",
bw = 2, # a moderate bandwidth
kernel = "rectangular" # rectangular kernel
)
# Statistical transformations (stats) can be set explicitly
ggplot(titanic, aes(age)) +
geom_density(
stat = "density", # the default for geom_density()
fill = "skyblue"
)
ggplot(titanic, aes(age)) +
geom_area( # geom_area() does not normally use stat = "density"
stat = "density",
fill = "skyblue"
)
ggplot(titanic, aes(age)) +
geom_line( # neither does geom_line()
stat = "density"
)
ggplot(titanic, aes(age)) +
# we can use multiple geoms on top of each other
geom_area(stat = "density", fill = "skyblue") +
geom_line(stat = "density")
# Parameters are handed through to the stat
ggplot(titanic, aes(age)) +
geom_line(stat = "density", bw = 3) # bw is a parameter of stat_density(), not of geom_line() 
ggplot(titanic, aes(age)) +
geom_line(stat = "density", bw = 0.3)
# We can explicitly map results from stat computations
ggplot(titanic, aes(age)) +
geom_tile( # geom_tile() draws rectangular colored areas
aes(
y = 1, # draw all tiles at the same y location
fill = after_stat(density) # use computed density for fill
),
stat = "density",
n = 20 # number of points calculated by stat_density()
)
ggplot(titanic, aes(age)) +
geom_tile( # geom_tile() draws rectangular colored areas
aes(
y = 1, # draw all tiles at the same y location
fill = after_stat(density) # use computed density for fill
),
stat = "density",
n = 200 # number of points calculated by stat_density()
)
# Boxplot
ggplot(lincoln_temps, aes(x = month, y = mean_temp)) +
geom_boxplot(fill = "skyblue")
# Violin plot
ggplot(lincoln_temps, aes(x = month, y = mean_temp)) +
geom_violin(fill = "skyblue")
# Strip chart
ggplot(lincoln_temps, aes(x = month, y = mean_temp)) +
geom_point(size = 0.75) # reduce point size to minimize overplotting
ggplot(lincoln_temps, aes(x = month, y = mean_temp)) +
geom_point(size = 0.75, # reduce point size to minimize overplotting
position = position_jitter(
width = 0.15, # amount of jitter in horizontal direction
height = 0 # amount of jitter in vertical direction (0 = none)
)
)
# Sina plot
ggplot(lincoln_temps, aes(x = month, y = mean_temp)) +
geom_violin(fill = "skyblue", color = NA) + # violins in background
geom_sina(size = 0.75) # sina jittered points in foreground
# Ridgeline plot
ggplot(lincoln_temps, aes(x = mean_temp, y = month_long)) +
geom_density_ridges()
4.4 Coordinate systems and axes
# import data
US_census <- read_csv("https://wilkelab.org/SDS375/datasets/US_census.csv")
tx_counties <- US_census %>%
filter(state == "Texas") %>%
select(name, pop2010) %>%
extract(name, "county", regex = "(.+) County") %>%
mutate(popratio = pop2010/median(pop2010)) %>%
arrange(desc(popratio)) %>%
mutate(index = 1:n())
# The parameter name sets the axis title
ggplot(boxoffice) +
aes(amount, fct_reorder(title, amount)) +
geom_col() +
scale_x_continuous(
name = "weekend gross (million USD)" # We could do the same with xlab() and ylab()
) +
scale_y_discrete(
name = NULL # no axis title
)
# The parameter limits sets the scale limits
ggplot(boxoffice) +
aes(amount, fct_reorder(title, amount)) +
geom_col() +
scale_x_continuous(
name = "weekend gross (million USD)",
limits = c(0, 80) # We could do the same with xlim() and ylim()
) +
scale_y_discrete(
name = NULL
)
# The parameter breaks sets the axis tick positions
ggplot(boxoffice) +
aes(amount, fct_reorder(title, amount)) +
geom_col() +
scale_x_continuous(
name = "weekend gross (million USD)",
limits = c(0, 80),
breaks = c(0, 25, 50, 75)
) +
scale_y_discrete(
name = NULL
)
# The parameter labels sets the axis tick labels
ggplot(boxoffice) +
aes(amount, fct_reorder(title, amount)) +
geom_col() +
scale_x_continuous(
name = "weekend gross",
limits = c(0, 80),
breaks = c(0, 25, 50, 75),
labels = c("0", "$25M", "$50M", "$75M")
) +
scale_y_discrete(
name = NULL
)
# The parameter expand sets the axis expansion
ggplot(boxoffice) +
aes(amount, fct_reorder(title, amount)) +
geom_col() +
scale_x_continuous(
name = "weekend gross (million USD)",
limits = c(0, 80),
breaks = c(0, 25, 50, 75),
labels = c("0", "$25M", "$50M", "$75M"),
expand = expansion(mult = c(0, 0.06))
) +
scale_y_discrete(
name = NULL
)
# Linear y scale
ggplot(tx_counties) +
aes(x = index, y = popratio) +
geom_point() +
scale_y_continuous(
name = "population number / median",
breaks = c(0, 100, 200),
labels = c("0", "100", "200")
)
# Log y scale
ggplot(tx_counties) +
aes(x = index, y = popratio) +
geom_point() +
scale_y_log10(
name = "population number / median",
breaks = c(0.01, 1, 100),
labels = c("0.01", "1", "100")
)
# Coords define the coordinate system
ggplot(temperatures, aes(day_of_year, temperature, color = location)) +
geom_line() +
coord_cartesian() # cartesian coords are the default
ggplot(temperatures, aes(day_of_year, temperature, color = location)) +
geom_line() +
coord_polar() # polar coords
ggplot(temperatures, aes(day_of_year, temperature, color = location)) +
geom_line() +
coord_polar() +
scale_y_continuous(limits = c(0, 105)) # fix up temperature limits
4.5 Color scales
# Data input
temperatures <- read_csv("https://wilkelab.org/SDS375/datasets/tempnormals.csv") %>%
mutate(
location = factor(
location, levels = c("Death Valley", "Houston", "San Diego", "Chicago")
)
) %>%
select(location, day_of_year, month, temperature)
temps_months <- read_csv("https://wilkelab.org/SDS375/datasets/tempnormals.csv") %>%
group_by(location, month_name) %>%
summarize(mean = mean(temperature)) %>%
mutate(
month = factor(
month_name,
levels = c("Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov", "Dec")
),
location = factor(
location, levels = c("Death Valley", "Houston", "San Diego", "Chicago")
)
) %>%
select(-month_name)
US_regions <- read_csv("input/US_regions.csv")
popgrowth <- left_join(US_census, US_regions) %>%
group_by(region, division, state) %>%
summarize(pop2000 = sum(pop2000, na.rm = TRUE),
pop2010 = sum(pop2010, na.rm = TRUE),
popgrowth = (pop2010-pop2000)/pop2000,
area = sum(area)) %>%
arrange(popgrowth) %>%
ungroup() %>%
mutate(state = factor(state, levels = state),
region = factor(region, levels = c("West", "South", "Midwest", "Northeast")))
# default
ggplot(temps_months, aes(x = month, y = location, fill = mean)) +
geom_tile(width = 0.95, height = 0.95) +
coord_fixed(expand = FALSE) +
theme_classic()
# no fill scale defined, default is scale_fill_gradient()
# scale_fill_gradient()
ggplot(temps_months, aes(x = month, y = location, fill = mean)) +
geom_tile(width = 0.95, height = 0.95) +
coord_fixed(expand = FALSE) +
theme_classic() +
scale_fill_gradient()
# scale_fill_viridis_c()
ggplot(temps_months, aes(x = month, y = location, fill = mean)) +
geom_tile(width = 0.95, height = 0.95) +
coord_fixed(expand = FALSE) +
theme_classic() +
scale_fill_viridis_c()
# scale_fill_viridis_c(option = "B")
ggplot(temps_months, aes(x = month, y = location, fill = mean)) +
geom_tile(width = 0.95, height = 0.95) +
coord_fixed(expand = FALSE) +
theme_classic() +
scale_fill_viridis_c(option = "B", begin = 0.15)
# scale_fill_distiller(palette = "YlGnBu")
ggplot(temps_months, aes(x = month, y = location, fill = mean)) +
geom_tile(width = 0.95, height = 0.95) +
coord_fixed(expand = FALSE) +
theme_classic() +
scale_fill_distiller(palette = "YlGnBu")
# using package colorspace
ggplot(temps_months, aes(x = month, y = location, fill = mean)) +
geom_tile(width = 0.95, height = 0.95) +
coord_fixed(expand = FALSE) +
theme_classic() +
colorspace::scale_fill_continuous_sequential(palette = "YlGnBu", rev = FALSE)
ggplot(temps_months, aes(x = month, y = location, fill = mean)) +
geom_tile(width = 0.95, height = 0.95) +
coord_fixed(expand = FALSE) +
theme_classic() +
colorspace::scale_fill_continuous_sequential(palette = "Viridis", rev = FALSE)
ggplot(temps_months, aes(x = month, y = location, fill = mean)) +
geom_tile(width = 0.95, height = 0.95) +
coord_fixed(expand = FALSE) +
theme_classic() +
colorspace::scale_fill_continuous_sequential(palette = "Inferno", begin = 0.15, rev = FALSE)
colorspace::hcl_palettes(type = "sequential", plot = TRUE) # all sequential palettes
colorspace::hcl_palettes(type = "diverging", plot = TRUE, n = 9) # all diverging palettes
colorspace::divergingx_palettes(plot = TRUE, n = 9) # all divergingx palettes
# Discrete, qualitative scales are best set manually
ggplot(popgrowth, aes(x = pop2000, y = popgrowth, color = region)) +
geom_point() +
scale_x_log10()
# no color scale defined, default is scale_color_hue()
ggplot(popgrowth, aes(x = pop2000, y = popgrowth, color = region)) +
geom_point() +
scale_x_log10() +
scale_color_hue()
# library(ggthemes) # for scale_color_colorblind()
ggplot(popgrowth, aes(x = pop2000, y = popgrowth, color = region)) +
geom_point() +
scale_x_log10() +
scale_color_colorblind() # uses Okabe-Ito colors
# manually
ggplot(popgrowth, aes(x = pop2000, y = popgrowth, color = region)) +
geom_point() +
scale_x_log10() +
scale_color_manual(
values = c(West = "#E69F00", South = "#56B4E9", Midwest = "#009E73", Northeast = "#F0E442")
)
4.6 Figure design
# starting figure
ggplot(lincoln_temps) +
aes(x = mean_temp, y = month_long) +
geom_density_ridges()
# geoms (via arguments to geoms)
# Set scale and bandwidth to shape ridgelines
ggplot(lincoln_temps) +
aes(x = mean_temp, y = month_long) +
geom_density_ridges(
scale = 3, bandwidth = 3.4
)
# Set rel_min_height to cut ridgelines near zero
ggplot(lincoln_temps) +
aes(x = mean_temp, y = month_long) +
geom_density_ridges(
scale = 3, bandwidth = 3.4,
rel_min_height = 0.01
)
# scales (via scale_*() functions)
# Use scale_*() functions to specify axis labels
ggplot(lincoln_temps) +
aes(x = mean_temp, y = month_long) +
geom_density_ridges(
scale = 3, bandwidth = 3.4,
rel_min_height = 0.01,
) +
scale_x_continuous(
name = "mean temperature (°F)"
) +
scale_y_discrete(
name = NULL # NULL means no label
)
# Specify scale expansion
ggplot(lincoln_temps) +
aes(x = mean_temp, y = month_long) +
geom_density_ridges(
scale = 3, bandwidth = 3.4,
rel_min_height = 0.01
) +
scale_x_continuous(
name = "mean temperature (°F)",
expand = c(0, 0)
) +
scale_y_discrete(
name = NULL,
expand = expansion(add = c(0.2, 2.6))
)
# plot appearance (via themes)
# Set overall plot theme
ggplot(lincoln_temps) +
aes(x = mean_temp, y = month_long) +
geom_density_ridges(
scale = 3, bandwidth = 3.4,
rel_min_height = 0.01
) +
scale_x_continuous(
name = "mean temperature (°F)",
expand = c(0, 0)
) +
scale_y_discrete(
name = NULL,
expand = expansion(add = c(0.2, 2.6))
) +
theme_minimal_grid() # from cowplot
# Align y axis labels to grid lines
ggplot(lincoln_temps) +
aes(x = mean_temp, y = month_long) +
geom_density_ridges(
scale = 3, bandwidth = 3.4,
rel_min_height = 0.01
) +
scale_x_continuous(
name = "mean temperature (°F)",
expand = c(0, 0)
) +
scale_y_discrete(
name = NULL,
expand = expansion(add = c(0.2, 2.6))
) +
theme_minimal_grid() +
theme(
axis.text.y = element_text(vjust = 0)
)
# Change fill color from default gray to blue
ggplot(lincoln_temps) +
aes(x = mean_temp, y = month_long) +
geom_density_ridges(
scale = 3, bandwidth = 3.4,
rel_min_height = 0.01,
fill = "#7DCCFF"
) +
scale_x_continuous(
name = "mean temperature (°F)",
expand = c(0, 0)
) +
scale_y_discrete(
name = NULL,
expand = expansion(add = c(0.2, 2.6))
) +
theme_minimal_grid() +
theme(
axis.text.y = element_text(vjust = 0)
)
# Draw lines in white instead of black
ggplot(lincoln_temps) +
aes(x = mean_temp, y = month_long) +
geom_density_ridges(
scale = 3, bandwidth = 3.4,
rel_min_height = 0.01,
fill = "#7DCCFF",
color = "white"
) +
scale_x_continuous(
name = "mean temperature (°F)",
expand = c(0, 0)
) +
scale_y_discrete(
name = NULL,
expand = expansion(add = c(0.2, 2.6))
) +
theme_minimal_grid() +
theme(
axis.text.y = element_text(vjust = 0)
)
# Using ready-made themes
ggplot(penguins, aes(flipper_length_mm, body_mass_g, color = species)) +
geom_point()
# default theme is theme_gray()
ggplot(penguins, aes(flipper_length_mm, body_mass_g, color = species)) +
geom_point() +
theme_gray(14) # most themes take a font-size argument to scale text size
ggplot(penguins, aes(flipper_length_mm, body_mass_g, color = species)) +
geom_point() +
theme_minimal(14)
ggplot(penguins, aes(flipper_length_mm, body_mass_g, color = species)) +
geom_point() +
theme_classic(14)
ggplot(penguins, aes(flipper_length_mm, body_mass_g, color = species)) +
geom_point() +
theme_half_open() # from package cowplot
ggplot(penguins, aes(flipper_length_mm, body_mass_g, color = species)) +
geom_point() +
theme_minimal_hgrid() # from package cowplot
ggplot(penguins, aes(flipper_length_mm, body_mass_g, color = species)) +
geom_point() +
theme_economist(14) + scale_color_economist() # from package ggthemes
ggplot(penguins, aes(flipper_length_mm, body_mass_g, color = species)) +
geom_point() +
theme_fivethirtyeight(14) + scale_color_fivethirtyeight() # from package ggthemes
# Customizing theme elements
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
# change color of only the x axis title
axis.title.x = element_text(
color = "royalblue2"
)
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
# change all text colors?
# why does it not work?
text = element_text(color = "royalblue2")
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
text = element_text(color = "royalblue2"),
axis.text = element_text( # The element axis.text has its own color set in the theme. Therefore it doesn't inherit from text
color = "royalblue2"
)
)
# Horizontal and vertical alignment
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
axis.title.x = element_text(
# horizontal justification
# (0 = left)
hjust = 0
)
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
axis.title.x = element_text(
# horizontal justification
# (0.5 = center)
hjust = 0.5
)
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
axis.title.x = element_text(
# horizontal justification
# (1 = right)
hjust = 1
)
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
axis.text.y = element_text(
# vertical justification
# (0 = bottom)
vjust = 0
)
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
axis.text.y = element_text(
# vertical justification
# (0.5 = center)
vjust = 0.5
)
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
axis.text.y = element_text(
# vertical justification
# (1 = top)
vjust = 1
)
)
# Remove elements entirely: element_blank()
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
# all text gone
text = element_blank()
)
# Set background color: element_rect()
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
plot.background = element_rect(
fill = "aliceblue"
)
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
panel.background = element_rect(
fill = "aliceblue"
)
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
legend.box.background = element_rect(
fill = "aliceblue",
color = "steelblue4" # line color
)
)
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
legend.box.background = element_rect(
fill = "aliceblue",
color = "steelblue4" # line color
),
legend.box.margin = margin(7, 7, 7, 7)
)
# Move the legend: legend.position
ggplot(penguins) +
aes(flipper_length_mm, body_mass_g) +
geom_point(aes(color = species)) +
theme_minimal_grid() +
theme(
legend.box.background = element_rect(
fill = "aliceblue",
color = "steelblue4" # line color
),
legend.box.margin = margin(7, 7, 7, 7),
# relative position inside plot panel
legend.position = c(1, 0),
# justification relative to position
legend.justification = c(1, 0)
)
4.7 Data wrangling
# Example application of grouping: Counting
penguins %>%
group_by(species) %>%
summarize(
n = n() # n() returns the number of observations per group
)| species | n |
|---|---|
| Adelie | 152 |
| Chinstrap | 68 |
| Gentoo | 124 |
# group by multiple variables
penguins %>%
group_by(species, island) %>%
summarize(
n = n() # n() returns the number of observations per group
)| species | island | n |
|---|---|---|
| Adelie | Biscoe | 44 |
| Adelie | Dream | 56 |
| Adelie | Torgersen | 52 |
| Chinstrap | Dream | 68 |
| Gentoo | Biscoe | 124 |
# count(...) is a short-cut for group_by(...) %>% summarize(n = n())
penguins %>%
count(species, island)| species | island | n |
|---|---|---|
| Adelie | Biscoe | 44 |
| Adelie | Dream | 56 |
| Adelie | Torgersen | 52 |
| Chinstrap | Dream | 68 |
| Gentoo | Biscoe | 124 |
# Performing multiple summaries at once
penguins %>%
group_by(species) %>%
summarize(
n = n(), # number of penguins
mean_mass = mean(body_mass_g, na.rm = T), # mean body mass
max_flipper_length = max(flipper_length_mm, na.rm = T), # max flipper length
percent_female = sum(sex == "female", na.rm = T) / sum(!is.na(sex)) # percent of female penguins
)| species | n | mean_mass | max_flipper_length | percent_female |
|---|---|---|---|---|
| Adelie | 152 | 3700.662 | 210 | 0.500000 |
| Chinstrap | 68 | 3733.088 | 212 | 0.500000 |
| Gentoo | 124 | 5076.016 | 231 | 0.487395 |
# Making a wide summary table
penguins_wide <- penguins %>%
count(species, island) %>%
pivot_wider(names_from = "island", values_from = "n")
# going back to long format
penguins_wide %>%
pivot_longer(cols = -species, names_to = "island", values_to = "n")| species | island | n |
|---|---|---|
| Adelie | Biscoe | 44 |
| Adelie | Dream | 56 |
| Adelie | Torgersen | 52 |
| Chinstrap | Biscoe | NA |
| Chinstrap | Dream | 68 |
| Chinstrap | Torgersen | NA |
| Gentoo | Biscoe | 124 |
| Gentoo | Dream | NA |
| Gentoo | Torgersen | NA |
# Column specifications work just like in select():
# specify columns by subtraction
penguins_wide %>%
pivot_longer(cols = -species, names_to = "island", values_to = "n")| species | island | n |
|---|---|---|
| Adelie | Biscoe | 44 |
| Adelie | Dream | 56 |
| Adelie | Torgersen | 52 |
| Chinstrap | Biscoe | NA |
| Chinstrap | Dream | 68 |
| Chinstrap | Torgersen | NA |
| Gentoo | Biscoe | 124 |
| Gentoo | Dream | NA |
| Gentoo | Torgersen | NA |
# specify columns by explicit listing
penguins_wide %>%
pivot_longer(cols = c(Biscoe, Dream, Torgersen), names_to = "island", values_to = "n")| species | island | n |
|---|---|---|
| Adelie | Biscoe | 44 |
| Adelie | Dream | 56 |
| Adelie | Torgersen | 52 |
| Chinstrap | Biscoe | NA |
| Chinstrap | Dream | 68 |
| Chinstrap | Torgersen | NA |
| Gentoo | Biscoe | 124 |
| Gentoo | Dream | NA |
| Gentoo | Torgersen | NA |
# specify columns by range
penguins_wide %>%
pivot_longer(cols = Biscoe:Torgersen, names_to = "island", values_to = "n")| species | island | n |
|---|---|---|
| Adelie | Biscoe | 44 |
| Adelie | Dream | 56 |
| Adelie | Torgersen | 52 |
| Chinstrap | Biscoe | NA |
| Chinstrap | Dream | 68 |
| Chinstrap | Torgersen | NA |
| Gentoo | Biscoe | 124 |
| Gentoo | Dream | NA |
| Gentoo | Torgersen | NA |
# Combine datasets: joins
band_members| name | band |
|---|---|
| Mick | Stones |
| John | Beatles |
| Paul | Beatles |
band_instruments| name | plays |
|---|---|
| John | guitar |
| Paul | bass |
| Keith | guitar |
left_join(band_members, band_instruments) # add right table to left; In case of doubt, use left_join()| name | band | plays |
|---|---|---|
| Mick | Stones | NA |
| John | Beatles | guitar |
| Paul | Beatles | bass |
right_join(band_members, band_instruments) # add left table to right| name | band | plays |
|---|---|---|
| John | Beatles | guitar |
| Paul | Beatles | bass |
| Keith | NA | guitar |
inner_join(band_members, band_instruments) # keep intersection only| name | band | plays |
|---|---|---|
| John | Beatles | guitar |
| Paul | Beatles | bass |
full_join(band_members, band_instruments) # merge all cases| name | band | plays |
|---|---|---|
| Mick | Stones | NA |
| John | Beatles | guitar |
| Paul | Beatles | bass |
| Keith | NA | guitar |
4.8 Getting things into the right order
# We can use fct_relevel() to manually order the bars in a bar plot
ggplot(penguins, aes(y = fct_relevel(species, "Chinstrap", "Gentoo", "Adelie"))) +
geom_bar()
# Somewhat cleaner: mutate first, then plot
penguins %>%
mutate(species = fct_relevel(species, "Chinstrap", "Gentoo", "Adelie")) %>%
ggplot(aes(y = species)) +
geom_bar()
# We order things in ggplot with factors
penguins %>%
mutate(species = fct_relevel(species, "Chinstrap", "Gentoo", "Adelie")) %>% # ggplot generally places visual elements in the order defined by the levels
slice(1:30) %>% # get first 30 rows
pull(species) # pull out just the `species` column## [1] Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie
## [11] Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie
## [21] Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie
## Levels: Chinstrap Gentoo Adelie# The order of the y axis is from bottom to top
penguins %>%
mutate(species = fct_relevel(species, "Chinstrap", "Gentoo", "Adelie")) %>%
ggplot(aes(y = species)) +
geom_bar()
# Reorder based on frequency: fct_infreq()
penguins %>%
mutate(species = fct_infreq(species)) %>%
slice(1:30) %>% # get first 30 rows
pull(species) # pull out just the `species` column## [1] Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie
## [11] Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie
## [21] Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie Adelie
## Levels: Adelie Gentoo Chinstrappenguins %>%
mutate(species = fct_infreq(species)) %>%
ggplot(aes(y = species)) +
geom_bar()
# Reverse order: fct_rev()
penguins %>%
mutate(species = fct_rev(fct_infreq(species))) %>%
ggplot(aes(y = species)) + geom_bar()
# Reorder based on numeric values
penguins %>%
count(species)| species | n |
|---|---|
| Adelie | 152 |
| Chinstrap | 68 |
| Gentoo | 124 |
penguins %>%
count(species) %>%
mutate(species = fct_reorder(species, n)) %>% # The order is ascending, from smallest to largest value
pull(species)## [1] Adelie Chinstrap Gentoo
## Levels: Chinstrap Gentoo Adeliepenguins %>%
count(species) %>%
mutate(species = fct_reorder(species, n)) %>%
ggplot(aes(species, n)) + geom_col()
penguins %>%
count(species) %>% # summarize data
mutate(species = fct_reorder(species, n)) %>%
ggplot(aes(n, species)) + geom_col()
penguins %>%
# modify the original dataset, no summary
mutate(species = fct_infreq(species)) %>%
ggplot(aes(y = fct_rev(species))) + geom_bar()
# Default order is alphabetic, from bottom to top
gapminder %>%
filter(
year == 2007,
continent == "Americas"
) %>%
ggplot(aes(lifeExp, country)) +
geom_point()
gapminder %>%
filter(
year == 2007,
continent == "Americas"
) %>%
mutate(
country = fct_reorder(country, lifeExp) # Order is ascending from bottom to top
) %>%
ggplot(aes(lifeExp, country)) +
geom_point()
# We can also order facets
gapminder %>%
filter(country %in% c("Norway", "Portugal", "Spain", "Austria")) %>%
ggplot(aes(year, lifeExp)) + geom_line() +
facet_wrap(vars(country), nrow = 1)
# When the levels of a factor occur more than once, fct_reorder() applies a summary function
gapminder %>%
filter(country %in% c("Norway", "Portugal", "Spain", "Austria")) %>%
mutate(country = fct_reorder(country, lifeExp)) %>% # default: order by median
ggplot(aes(year, lifeExp)) + geom_line() +
facet_wrap(vars(country), nrow = 1)
# We can also set the summary function explicitly
gapminder %>%
filter(country %in% c("Norway", "Portugal", "Spain", "Austria")) %>%
mutate(country = fct_reorder(country, lifeExp, min)) %>% # order by minimum
ggplot(aes(year, lifeExp)) + geom_line() +
facet_wrap(vars(country), nrow = 1)
gapminder %>%
filter(country %in% c("Norway", "Portugal", "Spain", "Austria")) %>%
mutate(country = fct_reorder(country, lifeExp, max)) %>% # order by maximum
ggplot(aes(year, lifeExp)) + geom_line() +
facet_wrap(vars(country), nrow = 1)
gapminder %>%
filter(country %in% c("Norway", "Portugal", "Spain", "Austria")) %>%
# order by custom function: here, difference between max and min
mutate(country = fct_reorder(country, lifeExp, function(x) { max(x) - min(x) })) %>%
ggplot(aes(year, lifeExp)) + geom_line() +
facet_wrap(vars(country), nrow = 1)
gapminder %>%
filter(country %in% c("Norway", "Portugal", "Spain", "Austria")) %>%
# order by custom function: here, difference between min and max
mutate(country = fct_reorder(country, lifeExp, function(x) { min(x) - max(x) })) %>%
ggplot(aes(year, lifeExp)) + geom_line() +
facet_wrap(vars(country), nrow = 1)
flight_data <- flights %>% # take data on individual flights
left_join(airlines) %>% # add in full-length airline names
select(name, carrier, flight, year, month, day, origin, dest) # pick columns of interest
# alphabetic ordering
flight_data %>%
ggplot(aes(y = name)) +
geom_bar()
flight_data %>%
mutate(
name = fct_infreq(name) # based on numeric values (ascending order)
) %>%
ggplot(aes(y = fct_rev(name))) + # reverse order
geom_bar()
flight_data %>%
mutate(
# keep only the 7 most common airlines (lumping)
name = fct_infreq(fct_lump_n(name, 7))
) %>%
ggplot(aes(y = fct_rev(name))) +
geom_bar()
# In most cases, you will want to order before lumping
flight_data %>%
mutate(
# order before lumping
name = fct_lump_n(fct_infreq(name), 7)
) %>%
ggplot(aes(y = fct_rev(name))) +
geom_bar()
# separate visually categories
flight_data %>%
mutate(
name = fct_lump_n(fct_infreq(name), 7),
# Use `fct_other()` to manually lump all
# levels not called "Other" into "Named"
highlight = fct_other(
name,
keep = "Other", other_level = "Named"
)
) %>%
ggplot() +
aes(
y = fct_rev(name),
fill = highlight
) +
geom_bar()
# Put the legend in the right order
flight_data %>%
mutate(
name = fct_lump_n(fct_infreq(name), 7),
# Use `fct_other()` to manually lump all
# levels not called "Other" into "Named"
highlight = fct_other(
name,
keep = "Other", other_level = "Named"
)
) %>%
ggplot() +
aes(
y = fct_rev(name),
# reverse fill aesthetic
fill = fct_rev(highlight)
) +
geom_bar()
# final version
flight_data %>%
mutate(
name = fct_lump_n(fct_infreq(name), 7),
highlight = fct_other(
name, keep = "Other", other_level = "Named"
)
) %>%
ggplot() +
aes(y = fct_rev(name), fill = highlight) +
geom_bar() +
scale_x_continuous(
name = "Number of flights",
expand = expansion(mult = c(0, 0.07))
) +
scale_y_discrete(name = NULL) +
scale_fill_manual(
values = c(
Named = "gray50", Other = "#98545F"
),
guide = "none"
) +
theme_minimal_vgrid()
4.9 Visualizing proportions
# Making pie charts with ggplot: polar coords
# the data
bundestag <- tibble(
party = c("CDU/CSU", "SPD", "FDP"),
seats = c(243, 214, 39)
)
# make bar chart in polar coords
ggplot(bundestag) +
aes(seats, "YY", fill = party) +
geom_col() +
coord_polar() +
scale_x_continuous(
name = NULL, breaks = NULL
) +
scale_y_discrete(
name = NULL, breaks = NULL
) +
ggtitle("German Bundestag 1976-1980")
# Making pie charts with ggplot: ggforce stat pie
ggplot(bundestag) +
aes(
x0 = 0, y0 = 0, # position of pie center
r0 = 0, r = 1, # inner and outer radius
amount = seats, # size of pie slices
fill = party
) +
geom_arc_bar(stat = "pie") +
coord_fixed()
ggplot(bundestag) +
aes(
x0 = 1, y0 = 1, # position of pie center
r0 = 1, r = 2, # inner and outer radius
amount = seats, # size of pie slices
fill = party
) +
geom_arc_bar(stat = "pie") +
coord_fixed(
xlim = c(-1, 3), ylim = c(-1, 3)
)
# Making pie charts with ggplot: ggforce manual comp.
# prepare pie data
pie_data <- bundestag %>%
arrange(seats) # sort so pie slices end up sorted
pie_data| party | seats |
|---|---|
| FDP | 39 |
| SPD | 214 |
| CDU/CSU | 243 |
pie_data <- bundestag %>%
arrange(seats) %>% # sort so pie slices end up sorted
mutate(
end_angle = 2*pi*cumsum(seats)/sum(seats), # ending angle for each pie slice
start_angle = lag(end_angle, default = 0), # starting angle for each pie slice
mid_angle = 0.5*(start_angle + end_angle), # middle of each pie slice, for text labels
# horizontal and vertical justifications for outer labels
hjust = ifelse(mid_angle > pi, 1, 0),
vjust = ifelse(mid_angle < pi/2 | mid_angle > 3*pi/2, 0, 1)
)
pie_data| party | seats | end_angle | start_angle | mid_angle | hjust | vjust |
|---|---|---|---|---|---|---|
| FDP | 39 | 0.4940408 | 0.0000000 | 0.2470204 | 0 | 0 |
| SPD | 214 | 3.2049312 | 0.4940408 | 1.8494860 | 0 | 1 |
| CDU/CSU | 243 | 6.2831853 | 3.2049312 | 4.7440583 | 1 | 0 |
ggplot(pie_data) +
aes(
x0 = 0, y0 = 0, r0 = 0, r = 1,
start = start_angle, end = end_angle,
fill = party
) +
geom_arc_bar() +
geom_text( # place amounts inside the pie
aes(
x = 0.6 * sin(mid_angle),
y = 0.6 * cos(mid_angle),
label = seats
)
) +
coord_fixed()
ggplot(pie_data) +
aes(
x0 = 0, y0 = 0, r0 = 0, r = 1,
start = start_angle, end = end_angle,
fill = party
) +
geom_arc_bar() +
geom_text( # place amounts inside the pie
aes(
x = 0.6 * sin(mid_angle),
y = 0.6 * cos(mid_angle),
label = seats
)
) +
geom_text( # place party name outside the pie
aes(
x = 1.05 * sin(mid_angle),
y = 1.05 * cos(mid_angle),
label = party,
hjust = hjust, vjust = vjust
)
) +
coord_fixed()
ggplot(pie_data) +
aes(
x0 = 0, y0 = 0, r0 = 0, r = 1,
start = start_angle, end = end_angle,
fill = party
) +
geom_arc_bar() +
geom_text( # place amounts inside the pie
aes(
x = 0.6 * sin(mid_angle),
y = 0.6 * cos(mid_angle),
label = seats
)
) +
geom_text( # place party name outside the pie
aes(
x = 1.05 * sin(mid_angle),
y = 1.05 * cos(mid_angle),
label = party,
hjust = hjust, vjust = vjust
)
) +
coord_fixed(xlim = c(-1.8, 1.3))
ggplot(pie_data) +
aes(
x0 = 0, y0 = 0, r0 = 0.4, r = 1,
start = start_angle, end = end_angle,
fill = party
) +
geom_arc_bar() +
geom_text( # place amounts inside the pie
aes(
x = 0.7 * sin(mid_angle),
y = 0.7 * cos(mid_angle),
label = seats
)
) +
geom_text( # place party name outside the pie
aes(
x = 1.05 * sin(mid_angle),
y = 1.05 * cos(mid_angle),
label = party,
hjust = hjust, vjust = vjust
)
) +
coord_fixed(xlim = c(-1.8, 1.3))
4.10 Visualizing trends
# get the data
blue_jays <- read_csv("input/blue_jays.csv")
cars93 <- read_csv("input/cars93.csv")
# We visualize linear trends with regression lines
# We add trend lines with geom_smooth()
ggplot(blue_jays) +
aes(body_mass_g, head_length_mm) +
geom_point() + theme_bw(14) +
geom_smooth()
# Scatter plot with linear regression
ggplot(blue_jays) +
aes(body_mass_g, head_length_mm) +
geom_point() + theme_bw(14) +
geom_smooth(
# smooth using linear model
method = "lm"
)
# Scatter plot with linear regression, no confidence band
ggplot(blue_jays) +
aes(body_mass_g, head_length_mm) +
geom_point() + theme_bw(14) +
geom_smooth(
# smooth using linear model
method = "lm",
# suppress confidence band
se = FALSE
)
# Scatter plot with linear regression by sex
ggplot(blue_jays) +
aes(
body_mass_g, head_length_mm,
color = sex
) +
geom_point() + theme_bw(14) +
geom_smooth(
# smooth using linear model
method = "lm",
# suppress confidence band
se = FALSE
)
# Linear regression can be nonsensical
ggplot(cars93) +
aes(x = Price, y = Fuel.tank.capacity) +
geom_point() + theme_bw(14) +
geom_smooth(method = "lm") # makes no sense 
# Exact shape of smoothing line depends on method details
ggplot(cars93) +
aes(x = Price, y = Fuel.tank.capacity) +
geom_point() + theme_bw(14) +
# loess smoothing
geom_smooth(
se = FALSE,
method = "loess", #span = 0.75 per default
formula = y ~ x
)
ggplot(cars93) +
aes(x = Price, y = Fuel.tank.capacity) +
geom_point() + theme_bw(14) +
# loess smoothing
geom_smooth(
se = FALSE,
method = "loess",
formula = y ~ x,
span = 0.25 # other value
)
ggplot(cars93) +
aes(x = Price, y = Fuel.tank.capacity) +
geom_point() + theme_bw(14) +
# loess smoothing
geom_smooth(
se = FALSE,
method = "loess",
formula = y ~ x,
span = 1.5
)
# Smoothing lines are particularly unreliable near their endpoints
ggplot(cars93) +
aes(x = Price, y = Fuel.tank.capacity) +
geom_point() + theme_bw(14) +
# cubic spline, 5 knots
geom_smooth(
se = FALSE,
method = "gam",
formula = y ~ s(x, k = 5, bs = 'cr')
)
ggplot(cars93) +
aes(x = Price, y = Fuel.tank.capacity) +
geom_point() + theme_bw(14) +
# Gaussian process spline, 6 knots
geom_smooth(
se = FALSE,
method = "gam",
formula = y ~ s(x, k = 6, bs = 'gp')
)
4.11 Working with models
penguins %>%
ggplot(aes(body_mass_g, flipper_length_mm)) +
geom_point() +
geom_smooth(method = "lm", se = FALSE) +
facet_wrap(vars(species))
# We can fit a linear model with lm()
penguins_adelie <- filter(penguins, species == "Adelie")
lm_out <- lm(flipper_length_mm ~ body_mass_g, data = penguins_adelie)
summary(lm_out)##
## Call:
## lm(formula = flipper_length_mm ~ body_mass_g, data = penguins_adelie)
##
## Residuals:
## Min 1Q Median 3Q Max
## -14.2769 -3.6192 0.0569 3.4696 18.0477
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 165.244813 3.849281 42.929 < 0.0000000000000002 ***
## body_mass_g 0.006677 0.001032 6.468 0.00000000134 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 5.798 on 149 degrees of freedom
## (1 observation deleted due to missingness)
## Multiple R-squared: 0.2192, Adjusted R-squared: 0.214
## F-statistic: 41.83 on 1 and 149 DF, p-value: 0.000000001343# Use map() to fit models to groups of data
lm_data <- penguins %>%
nest(data = -species) %>% # nest all data except species column
mutate(
# apply linear model to each nested data frame
fit = map(data, ~lm(flipper_length_mm ~ body_mass_g, data = .x))
)
lm_data$fit[[1]] ##
## Call:
## lm(formula = flipper_length_mm ~ body_mass_g, data = .x)
##
## Coefficients:
## (Intercept) body_mass_g
## 165.244813 0.006677summary(lm_data$fit[[1]]) # summarize the first model, which is for Adelie##
## Call:
## lm(formula = flipper_length_mm ~ body_mass_g, data = .x)
##
## Residuals:
## Min 1Q Median 3Q Max
## -14.2769 -3.6192 0.0569 3.4696 18.0477
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 165.244813 3.849281 42.929 < 0.0000000000000002 ***
## body_mass_g 0.006677 0.001032 6.468 0.00000000134 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 5.798 on 149 degrees of freedom
## (1 observation deleted due to missingness)
## Multiple R-squared: 0.2192, Adjusted R-squared: 0.214
## F-statistic: 41.83 on 1 and 149 DF, p-value: 0.000000001343summary(lm_data$fit[[2]]) # summarize the second model, which is for Chinstrap##
## Call:
## lm(formula = flipper_length_mm ~ body_mass_g, data = .x)
##
## Residuals:
## Min 1Q Median 3Q Max
## -12.0194 -2.7401 0.1781 2.9859 8.9806
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 171.3041886 4.2443258 40.36 <0.0000000000000002 ***
## body_mass_g 0.0090391 0.0008321 10.86 <0.0000000000000002 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 4.633 on 121 degrees of freedom
## (1 observation deleted due to missingness)
## Multiple R-squared: 0.4937, Adjusted R-squared: 0.4896
## F-statistic: 118 on 1 and 121 DF, p-value: < 0.00000000000000022summary(lm_data$fit[[3]]) # summarize the third model, which is for Gento##
## Call:
## lm(formula = flipper_length_mm ~ body_mass_g, data = .x)
##
## Residuals:
## Min 1Q Median 3Q Max
## -14.4296 -3.3315 0.4097 2.8889 11.5941
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 151.380874 6.574823 23.024 < 0.0000000000000002 ***
## body_mass_g 0.011905 0.001752 6.795 0.00000000375 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 5.512 on 66 degrees of freedom
## Multiple R-squared: 0.4116, Adjusted R-squared: 0.4027
## F-statistic: 46.17 on 1 and 66 DF, p-value: 0.000000003748glance(lm_out) # provides model-wide summary estimates in tidy format| r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | nobs |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.2192128 | 0.2139726 | 5.797764 | 41.83305 | 0 | 1 | -478.6314 | 963.2627 | 972.3146 | 5008.496 | 149 | 151 |
tidy(lm_out) # provides information about regression coefficients in tidy format| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 165.2448126 | 3.8492806 | 42.928752 | 0 |
| body_mass_g | 0.0066769 | 0.0010323 | 6.467848 | 0 |
# Apply these functions to multiple models with map()
lm_summary <- penguins %>%
nest(data = -species) %>%
mutate(
fit = map(data, ~lm(flipper_length_mm ~ body_mass_g, data = .x)),
glance_out = map(fit, glance)
) %>%
select(species, glance_out) %>%
unnest(cols = glance_out)
lm_summary| species | r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | nobs |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Adelie | 0.2192128 | 0.2139726 | 5.797764 | 41.83305 | 0 | 1 | -478.6314 | 963.2627 | 972.3146 | 5008.496 | 149 | 151 |
| Gentoo | 0.4937402 | 0.4895563 | 4.633213 | 118.00774 | 0 | 1 | -362.1110 | 730.2221 | 738.6587 | 2597.467 | 121 | 123 |
| Chinstrap | 0.4115985 | 0.4026833 | 5.511975 | 46.16830 | 0 | 1 | -211.5436 | 429.0872 | 435.7457 | 2005.203 | 66 | 68 |
# Make label data
label_data <- lm_summary %>%
mutate(
rsqr = signif(r.squared, 2), # round to 2 significant digits
pval = signif(p.value, 2),
label = glue("R^2 = {rsqr}, P = {pval}"),
body_mass_g = 6400, flipper_length_mm = 175 # label position in plot
) %>%
select(species, label, body_mass_g, flipper_length_mm)
label_data| species | label | body_mass_g | flipper_length_mm |
|---|---|---|---|
| Adelie | R^2 = 0.22, P = 0.0000000013 | 6400 | 175 |
| Gentoo | R^2 = 0.49, P = 0.00000000000000000013 | 6400 | 175 |
| Chinstrap | R^2 = 0.41, P = 0.0000000037 | 6400 | 175 |
# Plotting
ggplot(penguins, aes(body_mass_g, flipper_length_mm)) + geom_point() +
geom_text(
data = label_data, aes(label = label),
size = 10/.pt, hjust = 1 # 10pt, right-justified
) +
geom_smooth(method = "lm", se = FALSE) + facet_wrap(vars(species))
4.12 Visualizing uncertainty
# Making a plot with error bars in R
lm_data <- gapminder %>%
nest(data = -c(continent, year))
lm_data| continent | year | data |
|---|---|---|
| Asia | 1952 | 1.0000, 8.0000, 9.0000, 19.0000, 25.0000, 56.0000, 59.0000, 60.0000, 61.0000, 62.0000, 64.0000, 67.0000, 68.0000, 70.0000, 71.0000, 72.0000, 73.0000, 79.0000, 84.0000, 88.0000, 90.0000, 97.0000, 98.0000, 102.0000, 110.0000, 114.0000, 120.0000, 125.0000, 126.0000, 128.0000, 138.0000, 139.0000, 140.0000, 28.8010, 50.9390, 37.4840, 39.4170, 44.0000, 60.9600, 37.3730, 37.4680, 44.8690, 45.3200, 65.3900, 63.0300, 43.1580, 50.0560, 47.4530, 55.5650, 55.9280, 48.4630, 42.2440, 36.3190, 36.1570, 37.5780, 43.4360, 47.7520, 39.8750, 60.3960, 57.5930, 45.8830, 58.5000, 50.8480, 40.4120, 43.1600, 32.5480, 8425333.0000, 120447.0000, 46886859.0000, 4693836.0000, 556263527.0000, 2125900.0000, 372000000.0000, 82052000.0000, 17272000.0000, 5441766.0000, 1620914.0000, 86459025.0000, 607914.0000, 8865488.0000, 20947571.0000, 160000.0000, 1439529.0000, 6748378.0000, 800663.0000, 20092996.0000, 9182536.0000, 507833.0000, 41346560.0000, 22438691.0000, 4005677.0000, 1127000.0000, 7982342.0000, 3661549.0000, 8550362.0000, 21289402.0000, 26246839.0000, 1030585.0000, 4963829.0000, 779.4453, 9867.0848, 684.2442, 368.4693, 400.4486, 3054.4212, 546.5657, 749.6817, 3035.3260, 4129.7661, 4086.5221, 3216.9563, 1546.9078, 1088.2778, 1030.5922, 108382.3529, 4834.8041, 1831.1329, 786.5669, 331.0000, 545.8657, 1828.2303, 684.5971, 1272.8810, 6459.5548, 2315.1382, 1083.5320, 1643.4854, 1206.9479, 757.7974, 605.0665, 1515.5923, 781.7176 |
| Asia | 1957 | 1.00000, 8.00000, 9.00000, 19.00000, 25.00000, 56.00000, 59.00000, 60.00000, 61.00000, 62.00000, 64.00000, 67.00000, 68.00000, 70.00000, 71.00000, 72.00000, 73.00000, 79.00000, 84.00000, 88.00000, 90.00000, 97.00000, 98.00000, 102.00000, 110.00000, 114.00000, 120.00000, 125.00000, 126.00000, 128.00000, 138.00000, 139.00000, 140.00000, 30.33200, 53.83200, 39.34800, 41.36600, 50.54896, 64.75000, 40.24900, 39.91800, 47.18100, 48.43700, 67.84000, 65.50000, 45.66900, 54.08100, 52.68100, 58.03300, 59.48900, 52.10200, 45.24800, 41.90500, 37.68600, 40.08000, 45.55700, 51.33400, 42.86800, 63.17900, 61.45600, 48.28400, 62.40000, 53.63000, 42.88700, 45.67100, 33.97000, 9240934.00000, 138655.00000, 51365468.00000, 5322536.00000, 637408000.00000, 2736300.00000, 409000000.00000, 90124000.00000, 19792000.00000, 6248643.00000, 1944401.00000, 91563009.00000, 746559.00000, 9411381.00000, 22611552.00000, 212846.00000, 1647412.00000, 7739235.00000, 882134.00000, 21731844.00000, 9682338.00000, 561977.00000, 46679944.00000, 26072194.00000, 4419650.00000, 1445929.00000, 9128546.00000, 4149908.00000, 10164215.00000, 25041917.00000, 28998543.00000, 1070439.00000, 5498090.00000, 820.85303, 11635.79945, 661.63746, 434.03834, 575.98700, 3629.07646, 590.06200, 858.90027, 3290.25764, 6229.33356, 5385.27845, 4317.69437, 1886.08059, 1571.13466, 1487.59354, 113523.13290, 6089.78693, 1810.06699, 912.66261, 350.00000, 597.93636, 2242.74655, 747.08353, 1547.94484, 8157.59125, 2843.10441, 1072.54660, 2117.23489, 1507.86129, 793.57741, 676.28545, 1827.06774, 804.83045 |
| Asia | 1962 | 1.00000, 8.00000, 9.00000, 19.00000, 25.00000, 56.00000, 59.00000, 60.00000, 61.00000, 62.00000, 64.00000, 67.00000, 68.00000, 70.00000, 71.00000, 72.00000, 73.00000, 79.00000, 84.00000, 88.00000, 90.00000, 97.00000, 98.00000, 102.00000, 110.00000, 114.00000, 120.00000, 125.00000, 126.00000, 128.00000, 138.00000, 139.00000, 140.00000, 31.99700, 56.92300, 41.21600, 43.41500, 44.50136, 67.65000, 43.60500, 42.51800, 49.32500, 51.45700, 69.39000, 68.73000, 48.12600, 56.65600, 55.29200, 60.47000, 62.09400, 55.73700, 48.25100, 45.10800, 39.39300, 43.16500, 47.67000, 54.75700, 45.91400, 65.79800, 62.19200, 50.30500, 65.20000, 56.06100, 45.36300, 48.12700, 35.18000, 10267083.00000, 171863.00000, 56839289.00000, 6083619.00000, 665770000.00000, 3305200.00000, 454000000.00000, 99028000.00000, 22874000.00000, 7240260.00000, 2310904.00000, 95831757.00000, 933559.00000, 10917494.00000, 26420307.00000, 358266.00000, 1886848.00000, 8906385.00000, 1010280.00000, 23634436.00000, 10332057.00000, 628164.00000, 53100671.00000, 30325264.00000, 4943029.00000, 1750200.00000, 10421936.00000, 4834621.00000, 11918938.00000, 29263397.00000, 33796140.00000, 1133134.00000, 6120081.00000, 853.10071, 12753.27514, 686.34155, 496.91365, 487.67402, 4692.64827, 658.34715, 849.28977, 4187.32980, 8341.73782, 7105.63071, 6576.64946, 2348.00916, 1621.69360, 1536.34439, 95458.11176, 5714.56061, 2036.88494, 1056.35396, 388.00000, 652.39686, 2924.63811, 803.34274, 1649.55215, 11626.41975, 3674.73557, 1074.47196, 2193.03713, 1822.87903, 1002.19917, 772.04916, 2198.95631, 825.62320 |
| Asia | 1967 | 1.00000, 8.00000, 9.00000, 19.00000, 25.00000, 56.00000, 59.00000, 60.00000, 61.00000, 62.00000, 64.00000, 67.00000, 68.00000, 70.00000, 71.00000, 72.00000, 73.00000, 79.00000, 84.00000, 88.00000, 90.00000, 97.00000, 98.00000, 102.00000, 110.00000, 114.00000, 120.00000, 125.00000, 126.00000, 128.00000, 138.00000, 139.00000, 140.00000, 34.02000, 59.92300, 43.45300, 45.41500, 58.38112, 70.00000, 47.19300, 45.96400, 52.46900, 54.45900, 70.75000, 71.43000, 51.62900, 59.94200, 57.71600, 64.62400, 63.87000, 59.37100, 51.25300, 49.37900, 41.47200, 46.98800, 49.80000, 56.39300, 49.90100, 67.94600, 64.26600, 53.65500, 67.50000, 58.28500, 47.83800, 51.63100, 36.98400, 11537966.00000, 202182.00000, 62821884.00000, 6960067.00000, 754550000.00000, 3722800.00000, 506000000.00000, 109343000.00000, 26538000.00000, 8519282.00000, 2693585.00000, 100825279.00000, 1255058.00000, 12617009.00000, 30131000.00000, 575003.00000, 2186894.00000, 10154878.00000, 1149500.00000, 25870271.00000, 11261690.00000, 714775.00000, 60641899.00000, 35356600.00000, 5618198.00000, 1977600.00000, 11737396.00000, 5680812.00000, 13648692.00000, 34024249.00000, 39463910.00000, 1142636.00000, 6740785.00000, 836.19714, 14804.67270, 721.18609, 523.43231, 612.70569, 6197.96281, 700.77061, 762.43177, 5906.73181, 8931.45981, 8393.74140, 9847.78861, 2741.79625, 2143.54061, 2029.22814, 80894.88326, 6006.98304, 2277.74240, 1226.04113, 349.00000, 676.44223, 4720.94269, 942.40826, 1814.12743, 16903.04886, 4977.41854, 1135.51433, 1881.92363, 2643.85868, 1295.46066, 637.12329, 2649.71501, 862.44215 |
| Asia | 1972 | 1.00000, 8.00000, 9.00000, 19.00000, 25.00000, 56.00000, 59.00000, 60.00000, 61.00000, 62.00000, 64.00000, 67.00000, 68.00000, 70.00000, 71.00000, 72.00000, 73.00000, 79.00000, 84.00000, 88.00000, 90.00000, 97.00000, 98.00000, 102.00000, 110.00000, 114.00000, 120.00000, 125.00000, 126.00000, 128.00000, 138.00000, 139.00000, 140.00000, 36.08800, 63.30000, 45.25200, 40.31700, 63.11888, 72.00000, 50.65100, 49.20300, 55.23400, 56.95000, 71.63000, 73.42000, 56.52800, 63.98300, 62.61200, 67.71200, 65.42100, 63.01000, 53.75400, 53.07000, 43.97100, 52.14300, 51.92900, 58.06500, 53.88600, 69.52100, 65.04200, 57.29600, 69.39000, 60.40500, 50.25400, 56.53200, 39.84800, 13079460.00000, 230800.00000, 70759295.00000, 7450606.00000, 862030000.00000, 4115700.00000, 567000000.00000, 121282000.00000, 30614000.00000, 10061506.00000, 3095893.00000, 107188273.00000, 1613551.00000, 14781241.00000, 33505000.00000, 841934.00000, 2680018.00000, 11441462.00000, 1320500.00000, 28466390.00000, 12412593.00000, 829050.00000, 69325921.00000, 40850141.00000, 6472756.00000, 2152400.00000, 13016733.00000, 6701172.00000, 15226039.00000, 39276153.00000, 44655014.00000, 1089572.00000, 7407075.00000, 739.98111, 18268.65839, 630.23363, 421.62403, 676.90009, 8315.92814, 724.03253, 1111.10791, 9613.81861, 9576.03760, 12786.93223, 14778.78636, 2110.85631, 3701.62150, 3030.87665, 109347.86700, 7486.38434, 2849.09478, 1421.74197, 357.00000, 674.78813, 10618.03855, 1049.93898, 1989.37407, 24837.42865, 8597.75620, 1213.39553, 2571.42301, 4062.52390, 1524.35894, 699.50164, 3133.40928, 1265.04703 |
| Asia | 1977 | 1.00000, 8.00000, 9.00000, 19.00000, 25.00000, 56.00000, 59.00000, 60.00000, 61.00000, 62.00000, 64.00000, 67.00000, 68.00000, 70.00000, 71.00000, 72.00000, 73.00000, 79.00000, 84.00000, 88.00000, 90.00000, 97.00000, 98.00000, 102.00000, 110.00000, 114.00000, 120.00000, 125.00000, 126.00000, 128.00000, 138.00000, 139.00000, 140.00000, 38.43800, 65.59300, 46.92300, 31.22000, 63.96736, 73.60000, 54.20800, 52.70200, 57.70200, 60.41300, 73.06000, 75.38000, 61.13400, 67.15900, 64.76600, 69.34300, 66.09900, 65.25600, 55.49100, 56.05900, 46.74800, 57.36700, 54.04300, 60.06000, 58.69000, 70.79500, 65.94900, 61.19500, 70.59000, 62.49400, 55.76400, 60.76500, 44.17500, 14880372.00000, 297410.00000, 80428306.00000, 6978607.00000, 943455000.00000, 4583700.00000, 634000000.00000, 136725000.00000, 35480679.00000, 11882916.00000, 3495918.00000, 113872473.00000, 1937652.00000, 16325320.00000, 36436000.00000, 1140357.00000, 3115787.00000, 12845381.00000, 1528000.00000, 31528087.00000, 13933198.00000, 1004533.00000, 78152686.00000, 46850962.00000, 8128505.00000, 2325300.00000, 14116836.00000, 7932503.00000, 16785196.00000, 44148285.00000, 50533506.00000, 1261091.00000, 8403990.00000, 786.11336, 19340.10196, 659.87723, 524.97218, 741.23747, 11186.14125, 813.33732, 1382.70206, 11888.59508, 14688.23507, 13306.61921, 16610.37701, 2852.35157, 4106.30125, 4657.22102, 59265.47714, 8659.69684, 3827.92157, 1647.51166, 371.00000, 694.11244, 11848.34392, 1175.92119, 2373.20429, 34167.76260, 11210.08948, 1348.77565, 3195.48458, 5596.51983, 1961.22464, 713.53712, 3682.83149, 1829.76518 |
| Asia | 1982 | 1.0000, 8.0000, 9.0000, 19.0000, 25.0000, 56.0000, 59.0000, 60.0000, 61.0000, 62.0000, 64.0000, 67.0000, 68.0000, 70.0000, 71.0000, 72.0000, 73.0000, 79.0000, 84.0000, 88.0000, 90.0000, 97.0000, 98.0000, 102.0000, 110.0000, 114.0000, 120.0000, 125.0000, 126.0000, 128.0000, 138.0000, 139.0000, 140.0000, 39.8540, 69.0520, 50.0090, 50.9570, 65.5250, 75.4500, 56.5960, 56.1590, 59.6200, 62.0380, 74.4500, 77.1100, 63.7390, 69.1000, 67.1230, 71.3090, 66.9830, 68.0000, 57.4890, 58.0560, 49.5940, 62.7280, 56.1580, 62.0820, 63.0120, 71.7600, 68.7570, 64.5900, 72.1600, 64.5970, 58.8160, 64.4060, 49.1130, 12881816.0000, 377967.0000, 93074406.0000, 7272485.0000, 1000281000.0000, 5264500.0000, 708000000.0000, 153343000.0000, 43072751.0000, 14173318.0000, 3858421.0000, 118454974.0000, 2347031.0000, 17647518.0000, 39326000.0000, 1497494.0000, 3086876.0000, 14441916.0000, 1756032.0000, 34680442.0000, 15796314.0000, 1301048.0000, 91462088.0000, 53456774.0000, 11254672.0000, 2651869.0000, 15410151.0000, 9410494.0000, 18501390.0000, 48827160.0000, 56142181.0000, 1425876.0000, 9657618.0000, 978.0114, 19211.1473, 676.9819, 624.4755, 962.4214, 14560.5305, 855.7235, 1516.8730, 7608.3346, 14517.9071, 15367.0292, 19384.1057, 4161.4160, 4106.5253, 5622.9425, 31354.0357, 7640.5195, 4920.3560, 2000.6031, 424.0000, 718.3731, 12954.7910, 1443.4298, 2603.2738, 33693.1753, 15169.1611, 1648.0798, 3761.8377, 7426.3548, 2393.2198, 707.2358, 4336.0321, 1977.5570 |
| Asia | 1987 | 1.0000, 8.0000, 9.0000, 19.0000, 25.0000, 56.0000, 59.0000, 60.0000, 61.0000, 62.0000, 64.0000, 67.0000, 68.0000, 70.0000, 71.0000, 72.0000, 73.0000, 79.0000, 84.0000, 88.0000, 90.0000, 97.0000, 98.0000, 102.0000, 110.0000, 114.0000, 120.0000, 125.0000, 126.0000, 128.0000, 138.0000, 139.0000, 140.0000, 40.8220, 70.7500, 52.8190, 53.9140, 67.2740, 76.2000, 58.5530, 60.1370, 63.0400, 65.0440, 75.6000, 78.6700, 65.8690, 70.6470, 69.8100, 74.1740, 67.9260, 69.5000, 60.2220, 58.3390, 52.5370, 67.7340, 58.2450, 64.1510, 66.2950, 73.5600, 69.0110, 66.9740, 73.4000, 66.0840, 62.8200, 67.0460, 52.9220, 13867957.0000, 454612.0000, 103764241.0000, 8371791.0000, 1084035000.0000, 5584510.0000, 788000000.0000, 169276000.0000, 51889696.0000, 16543189.0000, 4203148.0000, 122091325.0000, 2820042.0000, 19067554.0000, 41622000.0000, 1891487.0000, 3089353.0000, 16331785.0000, 2015133.0000, 38028578.0000, 17917180.0000, 1593882.0000, 105186881.0000, 60017788.0000, 14619745.0000, 2794552.0000, 16495304.0000, 11242847.0000, 19757799.0000, 52910342.0000, 62826491.0000, 1691210.0000, 11219340.0000, 852.3959, 18524.0241, 751.9794, 683.8956, 1378.9040, 20038.4727, 976.5127, 1748.3570, 6642.8814, 11643.5727, 17122.4799, 22375.9419, 4448.6799, 4106.4923, 8533.0888, 28118.4300, 5377.0913, 5249.8027, 2338.0083, 385.0000, 775.6325, 18115.2231, 1704.6866, 2189.6350, 21198.2614, 18861.5308, 1876.7668, 3116.7743, 11054.5618, 2982.6538, 820.7994, 5107.1974, 1971.7415 |
| Asia | 1992 | 1.0000, 8.0000, 9.0000, 19.0000, 25.0000, 56.0000, 59.0000, 60.0000, 61.0000, 62.0000, 64.0000, 67.0000, 68.0000, 70.0000, 71.0000, 72.0000, 73.0000, 79.0000, 84.0000, 88.0000, 90.0000, 97.0000, 98.0000, 102.0000, 110.0000, 114.0000, 120.0000, 125.0000, 126.0000, 128.0000, 138.0000, 139.0000, 140.0000, 41.6740, 72.6010, 56.0180, 55.8030, 68.6900, 77.6010, 60.2230, 62.6810, 65.7420, 59.4610, 76.9300, 79.3600, 68.0150, 69.9780, 72.2440, 75.1900, 69.2920, 70.6930, 61.2710, 59.3200, 55.7270, 71.1970, 60.8380, 66.4580, 68.7680, 75.7880, 70.3790, 69.2490, 74.2600, 67.2980, 67.6620, 69.7180, 55.5990, 16317921.0000, 529491.0000, 113704579.0000, 10150094.0000, 1164970000.0000, 5829696.0000, 872000000.0000, 184816000.0000, 60397973.0000, 17861905.0000, 4936550.0000, 124329269.0000, 3867409.0000, 20711375.0000, 43805450.0000, 1418095.0000, 3219994.0000, 18319502.0000, 2312802.0000, 40546538.0000, 20326209.0000, 1915208.0000, 120065004.0000, 67185766.0000, 16945857.0000, 3235865.0000, 17587060.0000, 13219062.0000, 20686918.0000, 56667095.0000, 69940728.0000, 2104779.0000, 13367997.0000, 649.3414, 19035.5792, 837.8102, 682.3032, 1655.7842, 24757.6030, 1164.4068, 2383.1409, 7235.6532, 3745.6407, 18051.5225, 26824.8951, 3431.5936, 3726.0635, 12104.2787, 34932.9196, 6890.8069, 7277.9128, 1785.4020, 347.0000, 897.7404, 18616.7069, 1971.8295, 2279.3240, 24841.6178, 24769.8912, 2153.7392, 3340.5428, 15215.6579, 4616.8965, 989.0231, 6017.6548, 1879.4967 |
| Asia | 1997 | 1.0000, 8.0000, 9.0000, 19.0000, 25.0000, 56.0000, 59.0000, 60.0000, 61.0000, 62.0000, 64.0000, 67.0000, 68.0000, 70.0000, 71.0000, 72.0000, 73.0000, 79.0000, 84.0000, 88.0000, 90.0000, 97.0000, 98.0000, 102.0000, 110.0000, 114.0000, 120.0000, 125.0000, 126.0000, 128.0000, 138.0000, 139.0000, 140.0000, 41.7630, 73.9250, 59.4120, 56.5340, 70.4260, 80.0000, 61.7650, 66.0410, 68.0420, 58.8110, 78.2690, 80.6900, 69.7720, 67.7270, 74.6470, 76.1560, 70.2650, 71.9380, 63.6250, 60.3280, 59.4260, 72.4990, 61.8180, 68.5640, 70.5330, 77.1580, 70.4570, 71.5270, 75.2500, 67.5210, 70.6720, 71.0960, 58.0200, 22227415.0000, 598561.0000, 123315288.0000, 11782962.0000, 1230075000.0000, 6495918.0000, 959000000.0000, 199278000.0000, 63327987.0000, 20775703.0000, 5531387.0000, 125956499.0000, 4526235.0000, 21585105.0000, 46173816.0000, 1765345.0000, 3430388.0000, 20476091.0000, 2494803.0000, 43247867.0000, 23001113.0000, 2283635.0000, 135564834.0000, 75012988.0000, 21229759.0000, 3802309.0000, 18698655.0000, 15081016.0000, 21628605.0000, 60216677.0000, 76048996.0000, 2826046.0000, 15826497.0000, 635.3414, 20292.0168, 972.7700, 734.2852, 2289.2341, 28377.6322, 1458.8174, 3119.3356, 8263.5903, 3076.2398, 20896.6092, 28816.5850, 3645.3796, 1690.7568, 15993.5280, 40300.6200, 8754.9639, 10132.9096, 1902.2521, 415.0000, 1010.8921, 19702.0558, 2049.3505, 2536.5349, 20586.6902, 33519.4766, 2664.4773, 4014.2390, 20206.8210, 5852.6255, 1385.8968, 7110.6676, 2117.4845 |
| Asia | 2002 | 1.0000, 8.0000, 9.0000, 19.0000, 25.0000, 56.0000, 59.0000, 60.0000, 61.0000, 62.0000, 64.0000, 67.0000, 68.0000, 70.0000, 71.0000, 72.0000, 73.0000, 79.0000, 84.0000, 88.0000, 90.0000, 97.0000, 98.0000, 102.0000, 110.0000, 114.0000, 120.0000, 125.0000, 126.0000, 128.0000, 138.0000, 139.0000, 140.0000, 42.1290, 74.7950, 62.0130, 56.7520, 72.0280, 81.4950, 62.8790, 68.5880, 69.4510, 57.0460, 79.6960, 82.0000, 71.2630, 66.6620, 77.0450, 76.9040, 71.0280, 73.0440, 65.0330, 59.9080, 61.3400, 74.1930, 63.6100, 70.3030, 71.6260, 78.7700, 70.8150, 73.0530, 76.9900, 68.5640, 73.0170, 72.3700, 60.3080, 25268405.0000, 656397.0000, 135656790.0000, 12926707.0000, 1280400000.0000, 6762476.0000, 1034172547.0000, 211060000.0000, 66907826.0000, 24001816.0000, 6029529.0000, 127065841.0000, 5307470.0000, 22215365.0000, 47969150.0000, 2111561.0000, 3677780.0000, 22662365.0000, 2674234.0000, 45598081.0000, 25873917.0000, 2713462.0000, 153403524.0000, 82995088.0000, 24501530.0000, 4197776.0000, 19576783.0000, 17155814.0000, 22454239.0000, 62806748.0000, 80908147.0000, 3389578.0000, 18701257.0000, 726.7341, 23403.5593, 1136.3904, 896.2260, 3119.2809, 30209.0152, 1746.7695, 2873.9129, 9240.7620, 4390.7173, 21905.5951, 28604.5919, 3844.9172, 1646.7582, 19233.9882, 35110.1057, 9313.9388, 10206.9779, 2140.7393, 611.0000, 1057.2063, 19774.8369, 2092.7124, 2650.9211, 19014.5412, 36023.1054, 3015.3788, 4090.9253, 23235.4233, 5913.1875, 1764.4567, 4515.4876, 2234.8208 |
| Asia | 2007 | 1.0000, 8.0000, 9.0000, 19.0000, 25.0000, 56.0000, 59.0000, 60.0000, 61.0000, 62.0000, 64.0000, 67.0000, 68.0000, 70.0000, 71.0000, 72.0000, 73.0000, 79.0000, 84.0000, 88.0000, 90.0000, 97.0000, 98.0000, 102.0000, 110.0000, 114.0000, 120.0000, 125.0000, 126.0000, 128.0000, 138.0000, 139.0000, 140.0000, 43.8280, 75.6350, 64.0620, 59.7230, 72.9610, 82.2080, 64.6980, 70.6500, 70.9640, 59.5450, 80.7450, 82.6030, 72.5350, 67.2970, 78.6230, 77.5880, 71.9930, 74.2410, 66.8030, 62.0690, 63.7850, 75.6400, 65.4830, 71.6880, 72.7770, 79.9720, 72.3960, 74.1430, 78.4000, 70.6160, 74.2490, 73.4220, 62.6980, 31889923.0000, 708573.0000, 150448339.0000, 14131858.0000, 1318683096.0000, 6980412.0000, 1110396331.0000, 223547000.0000, 69453570.0000, 27499638.0000, 6426679.0000, 127467972.0000, 6053193.0000, 23301725.0000, 49044790.0000, 2505559.0000, 3921278.0000, 24821286.0000, 2874127.0000, 47761980.0000, 28901790.0000, 3204897.0000, 169270617.0000, 91077287.0000, 27601038.0000, 4553009.0000, 20378239.0000, 19314747.0000, 23174294.0000, 65068149.0000, 85262356.0000, 4018332.0000, 22211743.0000, 974.5803, 29796.0483, 1391.2538, 1713.7787, 4959.1149, 39724.9787, 2452.2104, 3540.6516, 11605.7145, 4471.0619, 25523.2771, 31656.0681, 4519.4612, 1593.0655, 23348.1397, 47306.9898, 10461.0587, 12451.6558, 3095.7723, 944.0000, 1091.3598, 22316.1929, 2605.9476, 3190.4810, 21654.8319, 47143.1796, 3970.0954, 4184.5481, 28718.2768, 7458.3963, 2441.5764, 3025.3498, 2280.7699 |
| Europe | 1952 | 2.0000, 7.0000, 10.0000, 13.0000, 16.0000, 32.0000, 34.0000, 35.0000, 44.0000, 45.0000, 48.0000, 50.0000, 57.0000, 58.0000, 63.0000, 65.0000, 85.0000, 91.0000, 96.0000, 103.0000, 104.0000, 107.0000, 112.0000, 115.0000, 116.0000, 119.0000, 123.0000, 124.0000, 132.0000, 134.0000, 55.2300, 66.8000, 68.0000, 53.8200, 59.6000, 61.2100, 66.8700, 70.7800, 66.5500, 67.4100, 67.5000, 65.8600, 64.0300, 72.4900, 66.9100, 65.9400, 59.1640, 72.1300, 72.6700, 61.3100, 59.8200, 61.0500, 57.9960, 64.3600, 65.5700, 64.9400, 71.8600, 69.6200, 43.5850, 69.1800, 1282697.0000, 6927772.0000, 8730405.0000, 2791000.0000, 7274900.0000, 3882229.0000, 9125183.0000, 4334000.0000, 4090500.0000, 42459667.0000, 69145952.0000, 7733250.0000, 9504000.0000, 147962.0000, 2952156.0000, 47666000.0000, 413834.0000, 10381988.0000, 3327728.0000, 25730551.0000, 8526050.0000, 16630000.0000, 6860147.0000, 3558137.0000, 1489518.0000, 28549870.0000, 7124673.0000, 4815000.0000, 22235677.0000, 50430000.0000, 1601.0561, 6137.0765, 8343.1051, 973.5332, 2444.2866, 3119.2365, 6876.1403, 9692.3852, 6424.5191, 7029.8093, 7144.1144, 3530.6901, 5263.6738, 7267.6884, 5210.2803, 4931.4042, 2647.5856, 8941.5719, 10095.4217, 4029.3297, 3068.3199, 3144.6132, 3581.4594, 5074.6591, 4215.0417, 3834.0347, 8527.8447, 14734.2327, 1969.1010, 9979.5085 |
| Europe | 1957 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 59.280, 67.480, 69.240, 58.450, 66.610, 64.770, 69.030, 71.810, 67.490, 68.930, 69.100, 67.860, 66.410, 73.470, 68.900, 67.810, 61.448, 72.990, 73.440, 65.770, 61.510, 64.100, 61.685, 67.450, 67.850, 66.660, 72.490, 70.560, 48.079, 70.420, 1476505.000, 6965860.000, 8989111.000, 3076000.000, 7651254.000, 3991242.000, 9513758.000, 4487831.000, 4324000.000, 44310863.000, 71019069.000, 8096218.000, 9839000.000, 165110.000, 2878220.000, 49182000.000, 442829.000, 11026383.000, 3491938.000, 28235346.000, 8817650.000, 17829327.000, 7271135.000, 3844277.000, 1533070.000, 29841614.000, 7363802.000, 5126000.000, 25670939.000, 51430000.000, 1942.284, 8842.598, 9714.961, 1353.989, 3008.671, 4338.232, 8256.344, 11099.659, 7545.415, 8662.835, 10187.827, 4916.300, 6040.180, 9244.001, 5599.078, 6248.656, 3682.260, 11276.193, 11653.973, 4734.253, 3774.572, 3943.370, 4981.091, 6093.263, 5862.277, 4564.802, 9911.878, 17909.490, 2218.754, 11283.178 |
| Europe | 1962 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 64.820, 69.540, 70.250, 61.930, 69.510, 67.130, 69.900, 72.350, 68.750, 70.510, 70.300, 69.510, 67.960, 73.680, 70.290, 69.240, 63.728, 73.230, 73.470, 67.640, 64.390, 66.800, 64.531, 70.330, 69.150, 69.690, 73.370, 71.320, 52.098, 70.760, 1728137.000, 7129864.000, 9218400.000, 3349000.000, 8012946.000, 4076557.000, 9620282.000, 4646899.000, 4491443.000, 47124000.000, 73739117.000, 8448233.000, 10063000.000, 182053.000, 2830000.000, 50843200.000, 474528.000, 11805689.000, 3638919.000, 30329617.000, 9019800.000, 18680721.000, 7616060.000, 4237384.000, 1582962.000, 31158061.000, 7561588.000, 5666000.000, 29788695.000, 53292000.000, 2312.889, 10750.721, 10991.207, 1709.684, 4254.338, 5477.890, 10136.867, 13583.314, 9371.843, 10560.486, 12902.463, 6017.191, 7550.360, 10350.159, 6631.597, 8243.582, 4649.594, 12790.850, 13450.402, 5338.752, 4727.955, 4734.998, 6289.629, 7481.108, 7402.303, 5693.844, 12329.442, 20431.093, 2322.870, 12477.177 |
| Europe | 1967 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 66.220, 70.140, 70.940, 64.790, 70.420, 68.500, 70.380, 72.960, 69.830, 71.550, 70.800, 71.000, 69.500, 73.730, 71.080, 71.060, 67.178, 73.820, 74.080, 69.610, 66.600, 66.800, 66.914, 70.980, 69.180, 71.440, 74.160, 72.770, 54.336, 71.360, 1984060.000, 7376998.000, 9556500.000, 3585000.000, 8310226.000, 4174366.000, 9835109.000, 4838800.000, 4605744.000, 49569000.000, 76368453.000, 8716441.000, 10223422.000, 198676.000, 2900100.000, 52667100.000, 501035.000, 12596822.000, 3786019.000, 31785378.000, 9103000.000, 19284814.000, 7971222.000, 4442238.000, 1646912.000, 32850275.000, 7867931.000, 6063000.000, 33411317.000, 54959000.000, 2760.197, 12834.602, 13149.041, 2172.352, 5577.003, 6960.298, 11399.445, 15937.211, 10921.636, 12999.918, 14745.626, 8513.097, 9326.645, 13319.896, 7655.569, 10022.401, 5907.851, 15363.251, 16361.876, 6557.153, 6361.518, 6470.867, 7991.707, 8412.902, 9405.489, 7993.512, 15258.297, 22966.144, 2826.356, 14142.851 |
| Europe | 1972 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 67.690, 70.630, 71.440, 67.450, 70.900, 69.610, 70.290, 73.470, 70.870, 72.380, 71.000, 72.340, 69.760, 74.460, 71.280, 72.190, 70.636, 73.750, 74.340, 70.850, 69.260, 69.210, 68.700, 70.350, 69.820, 73.060, 74.720, 73.780, 57.005, 72.010, 2263554.000, 7544201.000, 9709100.000, 3819000.000, 8576200.000, 4225310.000, 9862158.000, 4991596.000, 4639657.000, 51732000.000, 78717088.000, 8888628.000, 10394091.000, 209275.000, 3024400.000, 54365564.000, 527678.000, 13329874.000, 3933004.000, 33039545.000, 8970450.000, 20662648.000, 8313288.000, 4593433.000, 1694510.000, 34513161.000, 8122293.000, 6401400.000, 37492953.000, 56079000.000, 3313.422, 16661.626, 16672.144, 2860.170, 6597.494, 9164.090, 13108.454, 18866.207, 14358.876, 16107.192, 18016.180, 12724.830, 10168.656, 15798.064, 9530.773, 12269.274, 7778.414, 18794.746, 18965.056, 8006.507, 9022.247, 8011.414, 10522.067, 9674.168, 12383.486, 10638.751, 17832.025, 27195.113, 3450.696, 15895.116 |
| Europe | 1977 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 68.930, 72.170, 72.800, 69.860, 70.810, 70.640, 70.710, 74.690, 72.520, 73.830, 72.500, 73.680, 69.950, 76.110, 72.030, 73.480, 73.066, 75.240, 75.370, 70.670, 70.410, 69.460, 70.300, 70.450, 70.970, 74.390, 75.440, 75.390, 59.507, 72.760, 2509048.000, 7568430.000, 9821800.000, 4086000.000, 8797022.000, 4318673.000, 10161915.000, 5088419.000, 4738902.000, 53165019.000, 78160773.000, 9308479.000, 10637171.000, 221823.000, 3271900.000, 56059245.000, 560073.000, 13852989.000, 4043205.000, 34621254.000, 9662600.000, 21658597.000, 8686367.000, 4827803.000, 1746919.000, 36439000.000, 8251648.000, 6316424.000, 42404033.000, 56179000.000, 3533.004, 19749.422, 19117.974, 3528.481, 7612.240, 11305.385, 14800.161, 20422.901, 15605.423, 18292.635, 20512.921, 14195.524, 11674.837, 19654.962, 11150.981, 14255.985, 9595.930, 21209.059, 23311.349, 9508.141, 10172.486, 9356.397, 12980.670, 10922.664, 15277.030, 13236.921, 18855.725, 26982.291, 4269.122, 17428.748 |
| Europe | 1982 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 70.420, 73.180, 73.930, 70.690, 71.080, 70.460, 70.960, 74.630, 74.550, 74.890, 73.800, 75.240, 69.390, 76.990, 73.100, 74.980, 74.101, 76.050, 75.970, 71.320, 72.770, 69.660, 70.162, 70.800, 71.063, 76.300, 76.420, 76.210, 61.036, 74.040, 2780097.000, 7574613.000, 9856303.000, 4172693.000, 8892098.000, 4413368.000, 10303704.000, 5117810.000, 4826933.000, 54433565.000, 78335266.000, 9786480.000, 10705535.000, 233997.000, 3480000.000, 56535636.000, 562548.000, 14310401.000, 4114787.000, 36227381.000, 9859650.000, 22356726.000, 9032824.000, 5048043.000, 1861252.000, 37983310.000, 8325260.000, 6468126.000, 47328791.000, 56339704.000, 3630.881, 21597.084, 20979.846, 4126.613, 8224.192, 13221.822, 15377.229, 21688.040, 18533.158, 20293.897, 22031.533, 15268.421, 12545.991, 23269.607, 12618.321, 16537.483, 11222.588, 21399.460, 26298.635, 8451.531, 11753.843, 9605.314, 15181.093, 11348.546, 17866.722, 13926.170, 20667.381, 28397.715, 4241.356, 18232.425 |
| Europe | 1987 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 72.000, 74.940, 75.350, 71.140, 71.340, 71.520, 71.580, 74.800, 74.830, 76.340, 74.847, 76.670, 69.580, 77.230, 74.360, 76.420, 74.865, 76.830, 75.890, 70.980, 74.060, 69.530, 71.218, 71.080, 72.250, 76.900, 77.190, 77.410, 63.108, 75.007, 3075321.000, 7578903.000, 9870200.000, 4338977.000, 8971958.000, 4484310.000, 10311597.000, 5127024.000, 4931729.000, 55630100.000, 77718298.000, 9974490.000, 10612740.000, 244676.000, 3539900.000, 56729703.000, 569473.000, 14665278.000, 4186147.000, 37740710.000, 9915289.000, 22686371.000, 9230783.000, 5199318.000, 1945870.000, 38880702.000, 8421403.000, 6649942.000, 52881328.000, 56981620.000, 3738.933, 23687.826, 22525.563, 4314.115, 8239.855, 13822.584, 16310.443, 25116.176, 21141.012, 22066.442, 24639.186, 16120.528, 12986.480, 26923.206, 13872.867, 19207.235, 11732.510, 23651.324, 31540.975, 9082.351, 13039.309, 9696.273, 15870.879, 12037.268, 18678.535, 15764.983, 23586.929, 30281.705, 5089.044, 21664.788 |
| Europe | 1992 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 71.581, 76.040, 76.460, 72.178, 71.190, 72.527, 72.400, 75.330, 75.700, 77.460, 76.070, 77.030, 69.170, 78.770, 75.467, 77.440, 75.435, 77.420, 77.320, 70.990, 74.860, 69.360, 71.659, 71.380, 73.640, 77.570, 78.160, 78.030, 66.146, 76.420, 3326498.000, 7914969.000, 10045622.000, 4256013.000, 8658506.000, 4494013.000, 10315702.000, 5171393.000, 5041039.000, 57374179.000, 80597764.000, 10325429.000, 10348684.000, 259012.000, 3557761.000, 56840847.000, 621621.000, 15174244.000, 4286357.000, 38370697.000, 9927680.000, 22797027.000, 9826397.000, 5302888.000, 1999210.000, 39549438.000, 8718867.000, 6995447.000, 58179144.000, 57866349.000, 2497.438, 27042.019, 25575.571, 2546.781, 6302.623, 8447.795, 14297.021, 26406.740, 20647.165, 24703.796, 26505.303, 17541.496, 10535.629, 25144.392, 17558.816, 22013.645, 7003.339, 26790.950, 33965.661, 7738.881, 16207.267, 6598.410, 9325.068, 9498.468, 14214.717, 18603.065, 23880.017, 31871.530, 5678.348, 22705.093 |
| Europe | 1997 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 72.950, 77.510, 77.530, 73.244, 70.320, 73.680, 74.010, 76.110, 77.130, 78.640, 77.340, 77.869, 71.040, 78.950, 76.122, 78.820, 75.445, 78.030, 78.320, 72.750, 75.970, 69.720, 72.232, 72.710, 75.130, 78.770, 79.390, 79.370, 68.835, 77.218, 3428038.000, 8069876.000, 10199787.000, 3607000.000, 8066057.000, 4444595.000, 10300707.000, 5283663.000, 5134406.000, 58623428.000, 82011073.000, 10502372.000, 10244684.000, 271192.000, 3667233.000, 57479469.000, 692651.000, 15604464.000, 4405672.000, 38654957.000, 10156415.000, 22562458.000, 10336594.000, 5383010.000, 2011612.000, 39855442.000, 8897619.000, 7193761.000, 63047647.000, 58808266.000, 3193.055, 29095.921, 27561.197, 4766.356, 5970.389, 9875.605, 16048.514, 29804.346, 23723.950, 25889.785, 27788.884, 18747.698, 11712.777, 28061.100, 24521.947, 24675.024, 6465.613, 30246.131, 41283.164, 10159.584, 17641.032, 7346.548, 7914.320, 12126.231, 17161.107, 20445.299, 25266.595, 32135.323, 6601.430, 26074.531 |
| Europe | 2002 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 75.651, 78.980, 78.320, 74.090, 72.140, 74.876, 75.510, 77.180, 78.370, 79.590, 78.670, 78.256, 72.590, 80.500, 77.783, 80.240, 73.981, 78.530, 79.050, 74.670, 77.290, 71.322, 73.213, 73.800, 76.660, 79.780, 80.040, 80.620, 70.845, 78.471, 3508512.000, 8148312.000, 10311970.000, 4165416.000, 7661799.000, 4481020.000, 10256295.000, 5374693.000, 5193039.000, 59925035.000, 82350671.000, 10603863.000, 10083313.000, 288030.000, 3879155.000, 57926999.000, 720230.000, 16122830.000, 4535591.000, 38625976.000, 10433867.000, 22404337.000, 10111559.000, 5410052.000, 2011497.000, 40152517.000, 8954175.000, 7361757.000, 67308928.000, 59912431.000, 4604.212, 32417.608, 30485.884, 6018.975, 7696.778, 11628.389, 17596.210, 32166.500, 28204.591, 28926.032, 30035.802, 22514.255, 14843.936, 31163.202, 34077.049, 27968.098, 6557.194, 33724.758, 44683.975, 12002.239, 19970.908, 7885.360, 7236.075, 13638.778, 20660.019, 24835.472, 29341.631, 34480.958, 6508.086, 29478.999 |
| Europe | 2007 | 2.000, 7.000, 10.000, 13.000, 16.000, 32.000, 34.000, 35.000, 44.000, 45.000, 48.000, 50.000, 57.000, 58.000, 63.000, 65.000, 85.000, 91.000, 96.000, 103.000, 104.000, 107.000, 112.000, 115.000, 116.000, 119.000, 123.000, 124.000, 132.000, 134.000, 76.423, 79.829, 79.441, 74.852, 73.005, 75.748, 76.486, 78.332, 79.313, 80.657, 79.406, 79.483, 73.338, 81.757, 78.885, 80.546, 74.543, 79.762, 80.196, 75.563, 78.098, 72.476, 74.002, 74.663, 77.926, 80.941, 80.884, 81.701, 71.777, 79.425, 3600523.000, 8199783.000, 10392226.000, 4552198.000, 7322858.000, 4493312.000, 10228744.000, 5468120.000, 5238460.000, 61083916.000, 82400996.000, 10706290.000, 9956108.000, 301931.000, 4109086.000, 58147733.000, 684736.000, 16570613.000, 4627926.000, 38518241.000, 10642836.000, 22276056.000, 10150265.000, 5447502.000, 2009245.000, 40448191.000, 9031088.000, 7554661.000, 71158647.000, 60776238.000, 5937.030, 36126.493, 33692.605, 7446.299, 10680.793, 14619.223, 22833.309, 35278.419, 33207.084, 30470.017, 32170.374, 27538.412, 18008.944, 36180.789, 40675.996, 28569.720, 9253.896, 36797.933, 49357.190, 15389.925, 20509.648, 10808.476, 9786.535, 18678.314, 25768.258, 28821.064, 33859.748, 37506.419, 8458.276, 33203.261 |
| Africa | 1952 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 43.0770, 30.0150, 38.2230, 47.6220, 31.9750, 39.0310, 38.5230, 35.4630, 38.0920, 40.7150, 39.1430, 42.1110, 40.4770, 34.8120, 41.8930, 34.4820, 35.9280, 34.0780, 37.0030, 30.0000, 43.1490, 33.6090, 32.5000, 42.2700, 42.1380, 38.4800, 42.7230, 36.6810, 36.2560, 33.6850, 40.5430, 50.9860, 42.8730, 31.2860, 41.7250, 37.4440, 36.3240, 52.7240, 40.0000, 46.4710, 37.2780, 30.3310, 32.9780, 45.0090, 38.6350, 41.4070, 41.2150, 38.5960, 44.6000, 39.9780, 42.0380, 48.4510, 9279525.0000, 4232095.0000, 1738315.0000, 442308.0000, 4469979.0000, 2445618.0000, 5009067.0000, 1291695.0000, 2682462.0000, 153936.0000, 14100005.0000, 854885.0000, 2977019.0000, 63149.0000, 22223309.0000, 216964.0000, 1438760.0000, 20860941.0000, 420702.0000, 284320.0000, 5581001.0000, 2664249.0000, 580653.0000, 6464046.0000, 748747.0000, 863308.0000, 1019729.0000, 4762912.0000, 2917802.0000, 3838168.0000, 1022556.0000, 516556.0000, 9939217.0000, 6446316.0000, 485831.0000, 3379468.0000, 33119096.0000, 257700.0000, 2534927.0000, 60011.0000, 2755589.0000, 2143249.0000, 2526994.0000, 14264935.0000, 8504667.0000, 290243.0000, 8322925.0000, 1219113.0000, 3647735.0000, 5824797.0000, 2672000.0000, 3080907.0000, 2449.0082, 3520.6103, 1062.7522, 851.2411, 543.2552, 339.2965, 1172.6677, 1071.3107, 1178.6659, 1102.9909, 780.5423, 2125.6214, 1388.5947, 2669.5295, 1418.8224, 375.6431, 328.9406, 362.1463, 4293.4765, 485.2307, 911.2989, 510.1965, 299.8503, 853.5409, 298.8462, 575.5730, 2387.5481, 1443.0117, 369.1651, 452.3370, 743.1159, 1967.9557, 1688.2036, 468.5260, 2423.7804, 761.8794, 1077.2819, 2718.8853, 493.3239, 879.5836, 1450.3570, 879.7877, 1135.7498, 4725.2955, 1615.9911, 1148.3766, 716.6501, 859.8087, 1468.4756, 734.7535, 1147.3888, 406.8841 |
| Africa | 1957 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 45.6850, 31.9990, 40.3580, 49.6180, 34.9060, 40.5330, 40.4280, 37.4640, 39.8810, 42.4600, 40.6520, 45.0530, 42.4690, 37.3280, 44.4440, 35.9830, 38.0470, 36.6670, 38.9990, 32.0650, 44.7790, 34.5580, 33.4890, 44.6860, 45.0470, 39.4860, 45.2890, 38.8650, 37.2070, 35.3070, 42.3380, 58.0890, 45.4230, 33.7790, 45.2260, 38.5980, 37.8020, 55.0900, 41.5000, 48.9450, 39.3290, 31.5700, 34.9770, 47.9850, 39.6240, 43.4240, 42.9740, 41.2080, 47.1000, 42.5710, 44.0770, 50.4690, 10270856.0000, 4561361.0000, 1925173.0000, 474639.0000, 4713416.0000, 2667518.0000, 5359923.0000, 1392284.0000, 2894855.0000, 170928.0000, 15577932.0000, 940458.0000, 3300000.0000, 71851.0000, 25009741.0000, 232922.0000, 1542611.0000, 22815614.0000, 434904.0000, 323150.0000, 6391288.0000, 2876726.0000, 601095.0000, 7454779.0000, 813338.0000, 975950.0000, 1201578.0000, 5181679.0000, 3221238.0000, 4241884.0000, 1076852.0000, 609816.0000, 11406350.0000, 7038035.0000, 548080.0000, 3692184.0000, 37173340.0000, 308700.0000, 2822082.0000, 61325.0000, 3054547.0000, 2295678.0000, 2780415.0000, 16151549.0000, 9753392.0000, 326741.0000, 9452826.0000, 1357445.0000, 3950849.0000, 6675501.0000, 3016000.0000, 3646340.0000, 3013.9760, 3827.9405, 959.6011, 918.2325, 617.1835, 379.5646, 1313.0481, 1190.8443, 1308.4956, 1211.1485, 905.8602, 2315.0566, 1500.8959, 2864.9691, 1458.9153, 426.0964, 344.1619, 378.9042, 4976.1981, 520.9267, 1043.5615, 576.2670, 431.7905, 944.4383, 335.9971, 620.9700, 3448.2844, 1589.2027, 416.3698, 490.3822, 846.1203, 2034.0380, 1642.0023, 495.5868, 2621.4481, 835.5234, 1100.5926, 2769.4518, 540.2894, 860.7369, 1567.6530, 1004.4844, 1258.1474, 5487.1042, 1770.3371, 1244.7084, 698.5356, 925.9083, 1395.2325, 774.3711, 1311.9568, 518.7643 |
| Africa | 1962 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 48.3030, 34.0000, 42.6180, 51.5200, 37.8140, 42.0450, 42.6430, 39.4750, 41.7160, 44.4670, 42.1220, 48.4350, 44.9300, 39.6930, 46.9920, 37.4850, 40.1580, 40.0590, 40.4890, 33.8960, 46.4520, 35.7530, 34.4880, 47.9490, 47.7470, 40.5020, 47.8080, 40.8480, 38.4100, 36.9360, 44.2480, 60.2460, 47.9240, 36.1610, 48.3860, 39.4870, 39.3600, 57.6660, 43.0000, 51.8930, 41.4540, 32.7670, 36.9810, 49.9510, 40.8700, 44.9920, 44.2460, 43.9220, 49.5790, 45.3440, 46.0230, 52.3580, 11000948.0000, 4826015.0000, 2151895.0000, 512764.0000, 4919632.0000, 2961915.0000, 5793633.0000, 1523478.0000, 3150417.0000, 191689.0000, 17486434.0000, 1047924.0000, 3832408.0000, 89898.0000, 28173309.0000, 249220.0000, 1666618.0000, 25145372.0000, 455661.0000, 374020.0000, 7355248.0000, 3140003.0000, 627820.0000, 8678557.0000, 893143.0000, 1112796.0000, 1441863.0000, 5703324.0000, 3628608.0000, 4690372.0000, 1146757.0000, 701016.0000, 13056604.0000, 7788944.0000, 621392.0000, 4076008.0000, 41871351.0000, 358900.0000, 3051242.0000, 65345.0000, 3430243.0000, 2467895.0000, 3080153.0000, 18356657.0000, 11183227.0000, 370006.0000, 10863958.0000, 1528098.0000, 4286552.0000, 7688797.0000, 3421000.0000, 4277736.0000, 2550.8169, 4269.2767, 949.4991, 983.6540, 722.5120, 355.2032, 1399.6074, 1193.0688, 1389.8176, 1406.6483, 896.3146, 2464.7832, 1728.8694, 3020.9893, 1693.3359, 582.8420, 380.9958, 419.4564, 6631.4592, 599.6503, 1190.0411, 686.3737, 522.0344, 896.9664, 411.8006, 634.1952, 6757.0308, 1643.3871, 427.9011, 496.1743, 1055.8960, 2529.0675, 1566.3535, 556.6864, 3173.2156, 997.7661, 1150.9275, 3173.7233, 597.4731, 1071.5511, 1654.9887, 1116.6399, 1369.4883, 5768.7297, 1959.5938, 1856.1821, 722.0038, 1067.5348, 1660.3032, 767.2717, 1452.7258, 527.2722 |
| Africa | 1967 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 51.4070, 35.9850, 44.8850, 53.2980, 40.6970, 43.5480, 44.7990, 41.4780, 43.6010, 46.4720, 44.0560, 52.0400, 47.3500, 42.0740, 49.2930, 38.9870, 42.1890, 42.1150, 44.5980, 35.8570, 48.0720, 37.1970, 35.4920, 50.6540, 48.4920, 41.5360, 50.2270, 42.8810, 39.4870, 38.4870, 46.2890, 61.5570, 50.3350, 38.1130, 51.1590, 40.1180, 41.0400, 60.5420, 44.1000, 54.4250, 43.5630, 34.1130, 38.9770, 51.9270, 42.8580, 46.6330, 45.7570, 46.7690, 52.0530, 48.0510, 47.7680, 53.9950, 12760499.0000, 5247469.0000, 2427334.0000, 553541.0000, 5127935.0000, 3330989.0000, 6335506.0000, 1733638.0000, 3495967.0000, 217378.0000, 19941073.0000, 1179760.0000, 4744870.0000, 127617.0000, 31681188.0000, 259864.0000, 1820319.0000, 27860297.0000, 489004.0000, 439593.0000, 8490213.0000, 3451418.0000, 601287.0000, 10191512.0000, 996380.0000, 1279406.0000, 1759224.0000, 6334556.0000, 4147252.0000, 5212416.0000, 1230542.0000, 789309.0000, 14770296.0000, 8680909.0000, 706640.0000, 4534062.0000, 47287752.0000, 414024.0000, 3451079.0000, 70787.0000, 3965841.0000, 2662190.0000, 3428839.0000, 20997321.0000, 12716129.0000, 420690.0000, 12607312.0000, 1735550.0000, 4786986.0000, 8900294.0000, 3900000.0000, 4995432.0000, 3246.9918, 5522.7764, 1035.8314, 1214.7093, 794.8266, 412.9775, 1508.4531, 1136.0566, 1196.8106, 1876.0296, 861.5932, 2677.9396, 2052.0505, 3020.0505, 1814.8807, 915.5960, 468.7950, 516.1186, 8358.7620, 734.7829, 1125.6972, 708.7595, 715.5806, 1056.7365, 498.6390, 713.6036, 18772.7517, 1634.0473, 495.5148, 545.0099, 1421.1452, 2475.3876, 1711.0448, 566.6692, 3793.6948, 1054.3849, 1014.5141, 4021.1757, 510.9637, 1384.8406, 1612.4046, 1206.0435, 1284.7332, 7114.4780, 1687.9976, 2613.1017, 848.2187, 1477.5968, 1932.3602, 908.9185, 1777.0773, 569.7951 |
| Africa | 1972 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 54.5180, 37.9280, 47.0140, 56.0240, 43.5910, 44.0570, 47.0490, 43.4570, 45.5690, 48.9440, 45.9890, 54.9070, 49.8010, 44.3660, 51.1370, 40.5160, 44.1420, 43.5150, 48.6900, 38.3080, 49.8750, 38.8420, 36.4860, 53.5590, 49.7670, 42.6140, 52.7730, 44.8510, 41.7660, 39.9770, 48.4370, 62.9440, 52.8620, 40.3280, 53.8670, 40.5460, 42.8210, 64.2740, 44.6000, 56.4800, 45.8150, 35.4000, 40.9730, 53.6960, 45.0830, 49.5520, 47.6200, 49.7590, 55.6020, 51.0160, 50.1070, 55.6350, 14760787.0000, 5894858.0000, 2761407.0000, 619351.0000, 5433886.0000, 3529983.0000, 7021028.0000, 1927260.0000, 3899068.0000, 250027.0000, 23007669.0000, 1340458.0000, 6071696.0000, 178848.0000, 34807417.0000, 277603.0000, 2260187.0000, 30770372.0000, 537977.0000, 517101.0000, 9354120.0000, 3811387.0000, 625361.0000, 12044785.0000, 1116779.0000, 1482628.0000, 2183877.0000, 7082430.0000, 4730997.0000, 5828158.0000, 1332786.0000, 851334.0000, 16660670.0000, 9809596.0000, 821782.0000, 5060262.0000, 53740085.0000, 461633.0000, 3992121.0000, 76595.0000, 4588696.0000, 2879013.0000, 3840161.0000, 23935810.0000, 14597019.0000, 480105.0000, 14706593.0000, 2056351.0000, 5303507.0000, 10190285.0000, 4506497.0000, 5861135.0000, 4182.6638, 5473.2880, 1085.7969, 2263.6111, 854.7360, 464.0995, 1684.1465, 1070.0133, 1104.1040, 1937.5777, 904.8961, 3213.1527, 2378.2011, 3694.2124, 2024.0081, 672.4123, 514.3242, 566.2439, 11401.9484, 756.0868, 1178.2237, 741.6662, 820.2246, 1222.3600, 496.5816, 803.0055, 21011.4972, 1748.5630, 584.6220, 581.3689, 1586.8518, 2575.4842, 1930.1950, 724.9178, 3746.0809, 954.2092, 1698.3888, 5047.6586, 590.5807, 1532.9853, 1597.7121, 1353.7598, 1254.5761, 7765.9626, 1659.6528, 3364.8366, 915.9851, 1649.6602, 2753.2860, 950.7359, 1773.4983, 799.3622 |
| Africa | 1977 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 58.0140, 39.4830, 49.1900, 59.3190, 46.1370, 45.9100, 49.3550, 46.7750, 47.3830, 50.9390, 47.8040, 55.6250, 52.3740, 46.5190, 53.3190, 42.0240, 44.5350, 44.5100, 52.7900, 41.8420, 51.7560, 40.7620, 37.4650, 56.1550, 52.2080, 43.7640, 57.4420, 46.8810, 43.7670, 41.7140, 50.8520, 64.9300, 55.7300, 42.4950, 56.4370, 41.2910, 44.5140, 67.0640, 45.0000, 58.5500, 48.8790, 36.7880, 41.9740, 55.5270, 47.8000, 52.5370, 49.9190, 52.8870, 59.8370, 50.3500, 51.3860, 57.6740, 17152804.0000, 6162675.0000, 3168267.0000, 781472.0000, 5889574.0000, 3834415.0000, 7959865.0000, 2167533.0000, 4388260.0000, 304739.0000, 26480870.0000, 1536769.0000, 7459574.0000, 228694.0000, 38783863.0000, 192675.0000, 2512642.0000, 34617799.0000, 706367.0000, 608274.0000, 10538093.0000, 4227026.0000, 745228.0000, 14500404.0000, 1251524.0000, 1703617.0000, 2721783.0000, 8007166.0000, 5637246.0000, 6491649.0000, 1456688.0000, 913025.0000, 18396941.0000, 11127868.0000, 977026.0000, 5682086.0000, 62209173.0000, 492095.0000, 4657072.0000, 86796.0000, 5260855.0000, 3140897.0000, 4353666.0000, 27129932.0000, 17104986.0000, 551425.0000, 17129565.0000, 2308582.0000, 6005061.0000, 11457758.0000, 5216550.0000, 6642107.0000, 4910.4168, 3008.6474, 1029.1613, 3214.8578, 743.3870, 556.1033, 1783.4329, 1109.3743, 1133.9850, 1172.6030, 795.7573, 3259.1790, 2517.7365, 3081.7610, 2785.4936, 958.5668, 505.7538, 556.8084, 21745.5733, 884.7553, 993.2240, 874.6859, 764.7260, 1267.6132, 745.3695, 640.3224, 21951.2118, 1544.2286, 663.2237, 686.3953, 1497.4922, 3710.9830, 2370.6200, 502.3197, 3876.4860, 808.8971, 1981.9518, 4319.8041, 670.0806, 1737.5617, 1561.7691, 1348.2852, 1450.9925, 8028.6514, 2202.9884, 3781.4106, 962.4923, 1532.7770, 3120.8768, 843.7331, 1588.6883, 685.5877 |
| Africa | 1982 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 61.3680, 39.9420, 50.9040, 61.4840, 48.1220, 47.4710, 52.9610, 48.2950, 49.5170, 52.9330, 47.7840, 56.6950, 53.9830, 48.8120, 56.0060, 43.6620, 43.8900, 44.9160, 56.5640, 45.5800, 53.7440, 42.8910, 39.3270, 58.7660, 55.0780, 44.8520, 62.1550, 48.9690, 45.6420, 43.9160, 53.5990, 66.7110, 59.6500, 42.7950, 58.9680, 42.5980, 45.8260, 69.8850, 46.2180, 60.3510, 52.3790, 38.4450, 42.9550, 58.1610, 50.3380, 55.5610, 50.6080, 55.4710, 64.0480, 49.8490, 51.8210, 60.3630, 20033753.0000, 7016384.0000, 3641603.0000, 970347.0000, 6634596.0000, 4580410.0000, 9250831.0000, 2476971.0000, 4875118.0000, 348643.0000, 30646495.0000, 1774735.0000, 9025951.0000, 305991.0000, 45681811.0000, 285483.0000, 2637297.0000, 38111756.0000, 753874.0000, 715523.0000, 11400338.0000, 4710497.0000, 825987.0000, 17661452.0000, 1411807.0000, 1956875.0000, 3344074.0000, 9171477.0000, 6502825.0000, 6998256.0000, 1622136.0000, 992040.0000, 20198730.0000, 12587223.0000, 1099010.0000, 6437188.0000, 73039376.0000, 517810.0000, 5507565.0000, 98593.0000, 6147783.0000, 3464522.0000, 5828892.0000, 31140029.0000, 20367053.0000, 649901.0000, 19844382.0000, 2644765.0000, 6734098.0000, 12939400.0000, 6100407.0000, 7636524.0000, 5745.1602, 2756.9537, 1277.8976, 4551.1421, 807.1986, 559.6032, 2367.9833, 956.7530, 797.9081, 1267.1001, 673.7478, 4879.5075, 2602.7102, 2879.4681, 3503.7296, 927.8253, 524.8758, 577.8607, 15113.3619, 835.8096, 876.0326, 857.2504, 838.1240, 1348.2258, 797.2631, 572.1996, 17364.2754, 1302.8787, 632.8039, 618.0141, 1481.1502, 3688.0377, 2702.6204, 462.2114, 4191.1005, 909.7221, 1576.9738, 5267.2194, 881.5706, 1890.2181, 1518.4800, 1465.0108, 1176.8070, 8568.2662, 1895.5441, 3895.3840, 874.2426, 1344.5780, 3560.2332, 682.2662, 1408.6786, 788.8550 |
| Africa | 1987 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 65.7990, 39.9060, 52.3370, 63.6220, 49.5570, 48.2110, 54.9850, 50.4850, 51.0510, 54.9260, 47.4120, 57.4700, 54.6550, 50.0400, 59.7970, 45.6640, 46.4530, 46.6840, 60.1900, 49.2650, 55.7290, 45.5520, 41.2450, 59.3390, 57.1800, 46.0270, 66.2340, 49.3500, 47.4570, 46.3640, 56.1450, 68.7400, 62.6770, 42.8610, 60.8350, 44.5550, 46.8860, 71.9130, 44.0200, 61.7280, 55.7690, 40.0060, 44.5010, 60.8340, 51.7440, 57.6780, 51.5350, 56.9410, 66.8940, 51.5090, 50.8210, 62.3510, 23254956.0000, 7874230.0000, 4243788.0000, 1151184.0000, 7586551.0000, 5126023.0000, 10780667.0000, 2840009.0000, 5498955.0000, 395114.0000, 35481645.0000, 2064095.0000, 10761098.0000, 311025.0000, 52799062.0000, 341244.0000, 2915959.0000, 42999530.0000, 880397.0000, 848406.0000, 14168101.0000, 5650262.0000, 927524.0000, 21198082.0000, 1599200.0000, 2269414.0000, 3799845.0000, 10568642.0000, 7824747.0000, 7634008.0000, 1841240.0000, 1042663.0000, 22987397.0000, 12891952.0000, 1278184.0000, 7332638.0000, 81551520.0000, 562035.0000, 6349365.0000, 110812.0000, 7171347.0000, 3868905.0000, 6921858.0000, 35933379.0000, 24725960.0000, 779348.0000, 23040630.0000, 3154264.0000, 7724976.0000, 15283050.0000, 7272406.0000, 9216418.0000, 5681.3585, 2430.2083, 1225.8560, 6205.8839, 912.0631, 621.8188, 2602.6642, 844.8764, 952.3861, 1315.9808, 672.7748, 4201.1949, 2156.9561, 2880.1026, 3885.4607, 966.8968, 521.1341, 573.7413, 11864.4084, 611.6589, 847.0061, 805.5725, 736.4154, 1361.9369, 773.9932, 506.1139, 11770.5898, 1155.4419, 635.5174, 684.1716, 1421.6036, 4783.5869, 2755.0470, 389.8762, 3693.7313, 668.3000, 1385.0296, 5303.3775, 847.9912, 1516.5255, 1441.7207, 1294.4478, 1093.2450, 7825.8234, 1507.8192, 3984.8398, 831.8221, 1202.2014, 3810.4193, 617.7244, 1213.3151, 706.1573 |
| Africa | 1992 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 67.7440, 40.6470, 53.9190, 62.7450, 50.2600, 44.7360, 54.3140, 49.3960, 51.7240, 57.9390, 45.5480, 56.4330, 52.0440, 51.6040, 63.6740, 47.5450, 49.9910, 48.0910, 61.3660, 52.6440, 57.5010, 48.5760, 43.2660, 59.2850, 59.6850, 40.8020, 68.7550, 52.2140, 49.4200, 48.3880, 58.3330, 69.7450, 65.3930, 44.2840, 61.9990, 47.3910, 47.4720, 73.6150, 23.5990, 62.7420, 58.1960, 38.3330, 39.6580, 61.8880, 53.5560, 58.4740, 50.4400, 58.0610, 70.0010, 48.8250, 46.1000, 60.3770, 26298373.0000, 8735988.0000, 4981671.0000, 1342614.0000, 8878303.0000, 5809236.0000, 12467171.0000, 3265124.0000, 6429417.0000, 454429.0000, 41672143.0000, 2409073.0000, 12772596.0000, 384156.0000, 59402198.0000, 387838.0000, 3668440.0000, 52088559.0000, 985739.0000, 1025384.0000, 16278738.0000, 6990574.0000, 1050938.0000, 25020539.0000, 1803195.0000, 1912974.0000, 4364501.0000, 12210395.0000, 10014249.0000, 8416215.0000, 2119465.0000, 1096202.0000, 25798239.0000, 13160731.0000, 1554253.0000, 8392818.0000, 93364244.0000, 622191.0000, 7290203.0000, 125911.0000, 8307920.0000, 4260884.0000, 6099799.0000, 39964159.0000, 28227588.0000, 962344.0000, 26605473.0000, 3747553.0000, 8523077.0000, 18252190.0000, 8381163.0000, 10704340.0000, 5023.2166, 2627.8457, 1191.2077, 7954.1116, 931.7528, 631.6999, 1793.1633, 747.9055, 1058.0643, 1246.9074, 457.7192, 4016.2395, 1648.0738, 2377.1562, 3794.7552, 1132.0550, 582.8585, 421.3535, 13522.1575, 665.6244, 925.0602, 794.3484, 745.5399, 1341.9217, 977.4863, 636.6229, 9640.1385, 1040.6762, 563.2000, 739.0144, 1361.3698, 6058.2538, 2948.0473, 410.8968, 3804.5380, 581.1827, 1619.8482, 6101.2558, 737.0686, 1428.7778, 1367.8994, 1068.6963, 926.9603, 7225.0693, 1492.1970, 3553.0224, 825.6825, 1034.2989, 4332.7202, 644.1708, 1210.8846, 693.4208 |
| Africa | 1997 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 69.1520, 40.9630, 54.7770, 52.5560, 50.3240, 45.3260, 52.1990, 46.0660, 51.5730, 60.6600, 42.5870, 52.9620, 47.9910, 53.1570, 67.2170, 48.2450, 53.3780, 49.4020, 60.4610, 55.8610, 58.5560, 51.4550, 44.8730, 54.4070, 55.5580, 42.2210, 71.5550, 54.9780, 47.4950, 49.9030, 60.4300, 70.7360, 67.6600, 46.3440, 58.9090, 51.3130, 47.4640, 74.7720, 36.0870, 63.3060, 60.1870, 39.8970, 43.7950, 60.2360, 55.3730, 54.2890, 48.4660, 58.3900, 71.9730, 44.5780, 40.2380, 46.8090, 29072015.0000, 9875024.0000, 6066080.0000, 1536536.0000, 10352843.0000, 6121610.0000, 14195809.0000, 3696513.0000, 7562011.0000, 527982.0000, 47798986.0000, 2800947.0000, 14625967.0000, 417908.0000, 66134291.0000, 439971.0000, 4058319.0000, 59861301.0000, 1126189.0000, 1235767.0000, 18418288.0000, 8048834.0000, 1193708.0000, 28263827.0000, 1982823.0000, 2200725.0000, 4759670.0000, 14165114.0000, 10419991.0000, 9384984.0000, 2444741.0000, 1149818.0000, 28529501.0000, 16603334.0000, 1774766.0000, 9666252.0000, 106207839.0000, 684810.0000, 7212583.0000, 145608.0000, 9535314.0000, 4578212.0000, 6633514.0000, 42835005.0000, 32160729.0000, 1054486.0000, 30686889.0000, 4320890.0000, 9231669.0000, 21210254.0000, 9417789.0000, 11404948.0000, 4797.2951, 2277.1409, 1232.9753, 8647.1423, 946.2950, 463.1151, 1694.3375, 740.5063, 1004.9614, 1173.6182, 312.1884, 3484.1644, 1786.2654, 1895.0170, 4173.1818, 2814.4808, 913.4708, 515.8894, 14722.8419, 653.7302, 1005.2458, 869.4498, 796.6645, 1360.4850, 1186.1480, 609.1740, 9467.4461, 986.2959, 692.2758, 790.2580, 1483.1361, 7425.7053, 2982.1019, 472.3461, 3899.5243, 580.3052, 1624.9413, 6071.9414, 589.9445, 1339.0760, 1392.3683, 574.6482, 930.5964, 7479.1882, 1632.2108, 3876.7685, 789.1862, 982.2869, 4876.7986, 816.5591, 1071.3538, 792.4500 |
| Africa | 2002 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 70.9940, 41.0030, 54.4060, 46.6340, 50.6500, 47.3600, 49.8560, 43.3080, 50.5250, 62.9740, 44.9660, 52.9700, 46.8320, 53.3730, 69.8060, 49.3480, 55.2400, 50.7250, 56.7610, 58.0410, 58.4530, 53.6760, 45.5040, 50.9920, 44.5930, 43.7530, 72.7370, 57.2860, 45.0090, 51.8180, 62.2470, 71.9540, 69.6150, 44.0260, 51.4790, 54.4960, 46.6080, 75.7440, 43.4130, 64.3370, 61.6000, 41.0120, 45.9360, 53.3650, 56.3690, 43.8690, 49.6510, 57.5610, 73.0420, 47.8130, 39.1930, 39.9890, 31287142.0000, 10866106.0000, 7026113.0000, 1630347.0000, 12251209.0000, 7021078.0000, 15929988.0000, 4048013.0000, 8835739.0000, 614382.0000, 55379852.0000, 3328795.0000, 16252726.0000, 447416.0000, 73312559.0000, 495627.0000, 4414865.0000, 67946797.0000, 1299304.0000, 1457766.0000, 20550751.0000, 8807818.0000, 1332459.0000, 31386842.0000, 2046772.0000, 2814651.0000, 5368585.0000, 16473477.0000, 11824495.0000, 10580176.0000, 2828858.0000, 1200206.0000, 31167783.0000, 18473780.0000, 1972153.0000, 11140655.0000, 119901274.0000, 743981.0000, 7852401.0000, 170372.0000, 10870037.0000, 5359092.0000, 7753310.0000, 44433622.0000, 37090298.0000, 1130269.0000, 34593779.0000, 4977378.0000, 9770575.0000, 24739869.0000, 10595811.0000, 11926563.0000, 5288.0404, 2773.2873, 1372.8779, 11003.6051, 1037.6452, 446.4035, 1934.0114, 738.6906, 1156.1819, 1075.8116, 241.1659, 3484.0620, 1648.8008, 1908.2609, 4754.6044, 7703.4959, 765.3500, 530.0535, 12521.7139, 660.5856, 1111.9846, 945.5836, 575.7047, 1287.5147, 1275.1846, 531.4824, 9534.6775, 894.6371, 665.4231, 951.4098, 1579.0195, 9021.8159, 3258.4956, 633.6179, 4072.3248, 601.0745, 1615.2864, 6316.1652, 785.6538, 1353.0924, 1519.6353, 699.4897, 882.0818, 7710.9464, 1993.3983, 4128.1169, 899.0742, 886.2206, 5722.8957, 927.7210, 1071.6139, 672.0386 |
| Africa | 2007 | 3.0000, 4.0000, 11.0000, 14.0000, 17.0000, 18.0000, 20.0000, 22.0000, 23.0000, 27.0000, 28.0000, 29.0000, 31.0000, 36.0000, 39.0000, 41.0000, 42.0000, 43.0000, 46.0000, 47.0000, 49.0000, 52.0000, 53.0000, 69.0000, 74.0000, 75.0000, 76.0000, 77.0000, 78.0000, 80.0000, 81.0000, 82.0000, 86.0000, 87.0000, 89.0000, 94.0000, 95.0000, 106.0000, 108.0000, 109.0000, 111.0000, 113.0000, 117.0000, 118.0000, 121.0000, 122.0000, 127.0000, 129.0000, 131.0000, 133.0000, 141.0000, 142.0000, 72.3010, 42.7310, 56.7280, 50.7280, 52.2950, 49.5800, 50.4300, 44.7410, 50.6510, 65.1520, 46.4620, 55.3220, 48.3280, 54.7910, 71.3380, 51.5790, 58.0400, 52.9470, 56.7350, 59.4480, 60.0220, 56.0070, 46.3880, 54.1100, 42.5920, 45.6780, 73.9520, 59.4430, 48.3030, 54.4670, 64.1640, 72.8010, 71.1640, 42.0820, 52.9060, 56.8670, 46.8590, 76.4420, 46.2420, 65.5280, 63.0620, 42.5680, 48.1590, 49.3390, 58.5560, 39.6130, 52.5170, 58.4200, 73.9230, 51.5420, 42.3840, 43.4870, 33333216.0000, 12420476.0000, 8078314.0000, 1639131.0000, 14326203.0000, 8390505.0000, 17696293.0000, 4369038.0000, 10238807.0000, 710960.0000, 64606759.0000, 3800610.0000, 18013409.0000, 496374.0000, 80264543.0000, 551201.0000, 4906585.0000, 76511887.0000, 1454867.0000, 1688359.0000, 22873338.0000, 9947814.0000, 1472041.0000, 35610177.0000, 2012649.0000, 3193942.0000, 6036914.0000, 19167654.0000, 13327079.0000, 12031795.0000, 3270065.0000, 1250882.0000, 33757175.0000, 19951656.0000, 2055080.0000, 12894865.0000, 135031164.0000, 798094.0000, 8860588.0000, 199579.0000, 12267493.0000, 6144562.0000, 9118773.0000, 43997828.0000, 42292929.0000, 1133066.0000, 38139640.0000, 5701579.0000, 10276158.0000, 29170398.0000, 11746035.0000, 12311143.0000, 6223.3675, 4797.2313, 1441.2849, 12569.8518, 1217.0330, 430.0707, 2042.0952, 706.0165, 1704.0637, 986.1479, 277.5519, 3632.5578, 1544.7501, 2082.4816, 5581.1810, 12154.0897, 641.3695, 690.8056, 13206.4845, 752.7497, 1327.6089, 942.6542, 579.2317, 1463.2493, 1569.3314, 414.5073, 12057.4993, 1044.7701, 759.3499, 1042.5816, 1803.1515, 10956.9911, 3820.1752, 823.6856, 4811.0604, 619.6769, 2013.9773, 7670.1226, 863.0885, 1598.4351, 1712.4721, 862.5408, 926.1411, 9269.6578, 2602.3950, 4513.4806, 1107.4822, 882.9699, 7092.9230, 1056.3801, 1271.2116, 469.7093 |
| Americas | 1952 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 62.485, 40.414, 50.917, 68.750, 54.745, 50.643, 57.206, 59.421, 45.928, 48.357, 45.262, 42.023, 37.579, 41.912, 58.530, 50.789, 42.314, 55.191, 62.649, 43.902, 64.280, 59.100, 68.440, 66.071, 55.088, 17876956.000, 2883315.000, 56602560.000, 14785584.000, 6377619.000, 12350771.000, 926317.000, 6007797.000, 2491346.000, 3548753.000, 2042865.000, 3146381.000, 3201488.000, 1517453.000, 1426095.000, 30144317.000, 1165790.000, 940080.000, 1555876.000, 8025700.000, 2227000.000, 662850.000, 157553000.000, 2252965.000, 5439568.000, 5911.315, 2677.326, 2108.944, 11367.161, 3939.979, 2144.115, 2627.009, 5586.539, 1397.717, 3522.111, 3048.303, 2428.238, 1840.367, 2194.926, 2898.531, 3478.126, 3112.364, 2480.380, 1952.309, 3758.523, 3081.960, 3023.272, 13990.482, 5716.767, 7689.800 |
| Americas | 1957 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 64.399, 41.890, 53.285, 69.960, 56.074, 55.118, 60.026, 62.325, 49.828, 51.356, 48.570, 44.142, 40.696, 44.665, 62.610, 55.190, 45.432, 59.201, 63.196, 46.263, 68.540, 61.800, 69.490, 67.044, 57.907, 19610538.000, 3211738.000, 65551171.000, 17010154.000, 7048426.000, 14485993.000, 1112300.000, 6640752.000, 2923186.000, 4058385.000, 2355805.000, 3640876.000, 3507701.000, 1770390.000, 1535090.000, 35015548.000, 1358828.000, 1063506.000, 1770902.000, 9146100.000, 2260000.000, 764900.000, 171984000.000, 2424959.000, 6702668.000, 6856.856, 2127.686, 2487.366, 12489.950, 4315.623, 2323.806, 2990.011, 6092.174, 1544.403, 3780.547, 3421.523, 2617.156, 1726.888, 2220.488, 4756.526, 4131.547, 3457.416, 2961.801, 2046.155, 4245.257, 3907.156, 4100.393, 14847.127, 6150.773, 9802.467 |
| Americas | 1962 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 65.142, 43.428, 55.665, 71.300, 57.924, 57.863, 62.842, 65.246, 53.459, 54.640, 52.307, 46.954, 43.590, 48.041, 65.610, 58.299, 48.632, 61.817, 64.361, 49.096, 69.620, 64.900, 70.210, 68.253, 60.770, 21283783.000, 3593918.000, 76039390.000, 18985849.000, 7961258.000, 17009885.000, 1345187.000, 7254373.000, 3453434.000, 4681707.000, 2747687.000, 4208858.000, 3880130.000, 2090162.000, 1665128.000, 41121485.000, 1590597.000, 1215725.000, 2009813.000, 10516500.000, 2448046.000, 887498.000, 186538000.000, 2598466.000, 8143375.000, 7133.166, 2180.973, 3336.586, 13462.486, 4519.094, 2492.351, 3460.937, 5180.756, 1662.137, 4086.114, 3776.804, 2750.364, 1796.589, 2291.157, 5246.108, 4581.609, 3634.364, 3536.540, 2148.027, 4957.038, 5108.345, 4997.524, 16173.146, 5603.358, 8422.974 |
| Americas | 1967 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 65.634, 45.032, 57.632, 72.130, 60.523, 59.963, 65.424, 68.290, 56.751, 56.678, 55.855, 50.016, 46.243, 50.924, 67.510, 60.110, 51.884, 64.071, 64.951, 51.445, 71.100, 65.400, 70.760, 68.468, 63.479, 22934225.000, 4040665.000, 88049823.000, 20819767.000, 8858908.000, 19764027.000, 1588717.000, 8139332.000, 4049146.000, 5432424.000, 3232927.000, 4690773.000, 4318137.000, 2500689.000, 1861096.000, 47995559.000, 1865490.000, 1405486.000, 2287985.000, 12132200.000, 2648961.000, 960155.000, 198712000.000, 2748579.000, 9709552.000, 8052.953, 2586.886, 3429.864, 16076.588, 5106.654, 2678.730, 4161.728, 5690.268, 1653.723, 4579.074, 4358.595, 3242.531, 1452.058, 2538.269, 6124.703, 5754.734, 4643.394, 4421.009, 2299.376, 5788.093, 6929.278, 5621.368, 19530.366, 5444.620, 9541.474 |
| Americas | 1972 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 67.065, 46.714, 59.504, 72.880, 63.441, 61.623, 67.849, 70.723, 59.631, 58.796, 58.207, 53.738, 48.042, 53.884, 69.000, 62.361, 55.151, 66.216, 65.815, 55.448, 72.160, 65.900, 71.340, 68.673, 65.712, 24779799.000, 4565872.000, 100840058.000, 22284500.000, 9717524.000, 22542890.000, 1834796.000, 8831348.000, 4671329.000, 6298651.000, 3790903.000, 5149581.000, 4698301.000, 2965146.000, 1997616.000, 55984294.000, 2182908.000, 1616384.000, 2614104.000, 13954700.000, 2847132.000, 975199.000, 209896000.000, 2829526.000, 11515649.000, 9443.039, 2980.331, 4985.711, 18970.571, 5494.024, 3264.660, 5118.147, 5305.445, 2189.874, 5280.995, 4520.246, 4031.408, 1654.457, 2529.842, 7433.889, 6809.407, 4688.593, 5364.250, 2523.338, 5937.827, 9123.042, 6619.551, 21806.036, 5703.409, 10505.260 |
| Americas | 1977 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 68.481, 50.023, 61.489, 74.210, 67.052, 63.837, 70.750, 72.649, 61.788, 61.310, 56.696, 56.029, 49.923, 57.402, 70.110, 65.032, 57.470, 68.681, 66.353, 58.447, 73.440, 68.300, 73.380, 69.481, 67.456, 26983828.000, 5079716.000, 114313951.000, 23796400.000, 10599793.000, 25094412.000, 2108457.000, 9537988.000, 5302800.000, 7278866.000, 4282586.000, 5703430.000, 4908554.000, 3055235.000, 2156814.000, 63759976.000, 2554598.000, 1839782.000, 2984494.000, 15990099.000, 3080828.000, 1039009.000, 220239000.000, 2873520.000, 13503563.000, 10079.027, 3548.098, 6660.119, 22090.883, 4756.764, 3815.808, 5926.877, 6380.495, 2681.989, 6679.623, 5138.922, 4879.993, 1874.299, 3203.208, 6650.196, 7674.929, 5486.371, 5351.912, 3248.373, 6281.291, 9770.525, 7899.554, 24072.632, 6504.340, 13143.951 |
| Americas | 1982 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 69.942, 53.859, 63.336, 75.760, 70.565, 66.653, 73.450, 73.717, 63.727, 64.342, 56.604, 58.137, 51.461, 60.909, 71.210, 67.405, 59.298, 70.472, 66.874, 61.406, 73.750, 68.832, 74.650, 70.805, 68.557, 29341374.000, 5642224.000, 128962939.000, 25201900.000, 11487112.000, 27764644.000, 2424367.000, 9789224.000, 5968349.000, 8365850.000, 4474873.000, 6395630.000, 5198399.000, 3669448.000, 2298309.000, 71640904.000, 2979423.000, 2036305.000, 3366439.000, 18125129.000, 3279001.000, 1116479.000, 232187835.000, 2953997.000, 15620766.000, 8997.897, 3156.510, 7030.836, 22898.792, 5095.666, 4397.576, 5262.735, 7316.918, 2861.092, 7213.791, 4098.344, 4820.495, 2011.160, 3121.761, 6068.051, 9611.148, 3470.338, 7009.602, 4258.504, 6434.502, 10330.989, 9119.529, 25009.559, 6920.223, 11152.410 |
| Americas | 1987 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 70.774, 57.251, 65.205, 76.860, 72.492, 67.768, 74.752, 74.174, 66.046, 67.231, 63.154, 60.782, 53.636, 64.492, 71.770, 69.498, 62.008, 71.523, 67.378, 64.134, 74.630, 69.582, 75.020, 71.918, 70.190, 31620918.000, 6156369.000, 142938076.000, 26549700.000, 12463354.000, 30964245.000, 2799811.000, 10239839.000, 6655297.000, 9545158.000, 4842194.000, 7326406.000, 5756203.000, 4372203.000, 2326606.000, 80122492.000, 3344353.000, 2253639.000, 3886512.000, 20195924.000, 3444468.000, 1191336.000, 242803533.000, 3045153.000, 17910182.000, 9139.671, 2753.691, 7807.096, 26626.515, 5547.064, 4903.219, 5629.915, 7532.925, 2899.842, 6481.777, 4140.442, 4246.486, 1823.016, 3023.097, 6351.237, 8688.156, 2955.984, 7034.779, 3998.876, 6360.943, 12281.342, 7388.598, 29884.350, 7452.399, 9883.585 |
| Americas | 1992 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 71.868, 59.957, 67.057, 77.950, 74.126, 68.421, 75.713, 74.414, 68.457, 69.613, 66.798, 63.373, 55.089, 66.399, 71.766, 71.455, 65.843, 72.462, 68.225, 66.458, 73.911, 69.862, 76.090, 72.752, 71.150, 33958947.000, 6893451.000, 155975974.000, 28523502.000, 13572994.000, 34202721.000, 3173216.000, 10723260.000, 7351181.000, 10748394.000, 5274649.000, 8486949.000, 6326682.000, 5077347.000, 2378618.000, 88111030.000, 4017939.000, 2484997.000, 4483945.000, 22430449.000, 3585176.000, 1183669.000, 256894189.000, 3149262.000, 20265563.000, 9308.419, 2961.700, 6950.283, 26342.884, 7596.126, 5444.649, 6160.416, 5592.844, 3044.214, 7103.703, 4444.232, 4439.451, 1456.310, 3081.695, 7404.924, 9472.384, 2170.152, 6618.743, 4196.411, 4446.381, 14641.587, 7370.991, 32003.932, 8137.005, 10733.926 |
| Americas | 1997 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 73.275, 62.050, 69.388, 78.610, 75.816, 70.313, 77.260, 76.151, 69.957, 72.312, 69.535, 66.322, 56.671, 67.659, 72.262, 73.670, 68.426, 73.738, 69.400, 68.386, 74.917, 69.465, 76.810, 74.223, 72.146, 36203463.000, 7693188.000, 168546719.000, 30305843.000, 14599929.000, 37657830.000, 3518107.000, 10983007.000, 7992357.000, 11911819.000, 5783439.000, 9803875.000, 6913545.000, 5867957.000, 2531311.000, 95895146.000, 4609572.000, 2734531.000, 5154123.000, 24748122.000, 3759430.000, 1138101.000, 272911760.000, 3262838.000, 22374398.000, 10967.282, 3326.143, 7957.981, 28954.926, 10118.053, 6117.362, 6677.045, 5431.990, 3614.101, 7429.456, 5154.825, 4684.314, 1341.727, 3160.455, 7121.925, 9767.298, 2253.023, 7113.692, 4247.400, 5838.348, 16999.433, 8792.573, 35767.433, 9230.241, 10165.495 |
| Americas | 2002 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 74.340, 63.883, 71.006, 79.770, 77.860, 71.682, 78.123, 77.158, 70.847, 74.173, 70.734, 68.978, 58.137, 68.565, 72.047, 74.902, 70.836, 74.712, 70.755, 69.906, 77.778, 68.976, 77.310, 75.307, 72.766, 38331121.000, 8445134.000, 179914212.000, 31902268.000, 15497046.000, 41008227.000, 3834934.000, 11226999.000, 8650322.000, 12921234.000, 6353681.000, 11178650.000, 7607651.000, 6677328.000, 2664659.000, 102479927.000, 5146848.000, 2990875.000, 5884491.000, 26769436.000, 3859606.000, 1101832.000, 287675526.000, 3363085.000, 24287670.000, 8797.641, 3413.263, 8131.213, 33328.965, 10778.784, 5755.260, 7723.447, 6340.647, 4563.808, 5773.045, 5351.569, 4858.347, 1270.365, 3099.729, 6994.775, 10742.441, 2474.549, 7356.032, 3783.674, 5909.020, 18855.606, 11460.600, 39097.100, 7727.002, 8605.048 |
| Americas | 2007 | 5.000, 12.000, 15.000, 21.000, 24.000, 26.000, 30.000, 33.000, 37.000, 38.000, 40.000, 51.000, 54.000, 55.000, 66.000, 83.000, 93.000, 99.000, 100.000, 101.000, 105.000, 130.000, 135.000, 136.000, 137.000, 75.320, 65.554, 72.390, 80.653, 78.553, 72.889, 78.782, 78.273, 72.235, 74.994, 71.878, 70.259, 60.916, 70.198, 72.567, 76.195, 72.899, 75.537, 71.752, 71.421, 78.746, 69.819, 78.242, 76.384, 73.747, 40301927.000, 9119152.000, 190010647.000, 33390141.000, 16284741.000, 44227550.000, 4133884.000, 11416987.000, 9319622.000, 13755680.000, 6939688.000, 12572928.000, 8502814.000, 7483763.000, 2780132.000, 108700891.000, 5675356.000, 3242173.000, 6667147.000, 28674757.000, 3942491.000, 1056608.000, 301139947.000, 3447496.000, 26084662.000, 12779.380, 3822.137, 9065.801, 36319.235, 13171.639, 7006.580, 9645.061, 8948.103, 6025.375, 6873.262, 5728.354, 5186.050, 1201.637, 3548.331, 7320.880, 11977.575, 2749.321, 9809.186, 4172.838, 7408.906, 19328.709, 18008.509, 42951.653, 10611.463, 11415.806 |
| Oceania | 1952 | 6.00, 92.00, 69.12, 69.39, 8691212.00, 1994794.00, 10039.60, 10556.58 |
| Oceania | 1957 | 6.00, 92.00, 70.33, 70.26, 9712569.00, 2229407.00, 10949.65, 12247.40 |
| Oceania | 1962 | 6.00, 92.00, 70.93, 71.24, 10794968.00, 2488550.00, 12217.23, 13175.68 |
| Oceania | 1967 | 6.00, 92.00, 71.10, 71.52, 11872264.00, 2728150.00, 14526.12, 14463.92 |
| Oceania | 1972 | 6.00, 92.00, 71.93, 71.89, 13177000.00, 2929100.00, 16788.63, 16046.04 |
| Oceania | 1977 | 6.00, 92.00, 73.49, 72.22, 14074100.00, 3164900.00, 18334.20, 16233.72 |
| Oceania | 1982 | 6.00, 92.00, 74.74, 73.84, 15184200.00, 3210650.00, 19477.01, 17632.41 |
| Oceania | 1987 | 6.00, 92.00, 76.32, 74.32, 16257249.00, 3317166.00, 21888.89, 19007.19 |
| Oceania | 1992 | 6.00, 92.00, 77.56, 76.33, 17481977.00, 3437674.00, 23424.77, 18363.32 |
| Oceania | 1997 | 6.00, 92.00, 78.83, 77.55, 18565243.00, 3676187.00, 26997.94, 21050.41 |
| Oceania | 2002 | 6.00, 92.00, 80.37, 79.11, 19546792.00, 3908037.00, 30687.75, 23189.80 |
| Oceania | 2007 | 6.000, 92.000, 81.235, 80.204, 20434176.000, 4115771.000, 34435.367, 25185.009 |
lm_data <- gapminder %>%
nest(data = -c(continent, year)) %>%
mutate(
fit = map(data, ~lm(lifeExp ~ log(gdpPercap), data = .x)),
tidy_out = map(fit, tidy)
) %>%
unnest(cols = tidy_out) %>%
select(-fit, -data) %>%
filter(term != "(Intercept)", continent != "Oceania")
lm_data| continent | year | term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|---|---|
| Asia | 1952 | log(gdpPercap) | 4.159673 | 1.2507050 | 3.325863 | 0.0022766 |
| Asia | 1957 | log(gdpPercap) | 4.171219 | 1.2795470 | 3.259918 | 0.0027070 |
| Asia | 1962 | log(gdpPercap) | 4.592523 | 1.2352003 | 3.718039 | 0.0007945 |
| Asia | 1967 | log(gdpPercap) | 4.501820 | 1.1532145 | 3.903714 | 0.0004771 |
| Asia | 1972 | log(gdpPercap) | 4.444768 | 1.0080337 | 4.409344 | 0.0001158 |
| Asia | 1977 | log(gdpPercap) | 4.872457 | 1.0262141 | 4.747992 | 0.0000442 |
| Asia | 1982 | log(gdpPercap) | 4.779256 | 0.8523760 | 5.606982 | 0.0000038 |
| Asia | 1987 | log(gdpPercap) | 5.174537 | 0.7267098 | 7.120500 | 0.0000001 |
| Asia | 1992 | log(gdpPercap) | 5.088508 | 0.6492224 | 7.837850 | 0.0000000 |
| Asia | 1997 | log(gdpPercap) | 5.112844 | 0.6275664 | 8.147097 | 0.0000000 |
| Asia | 2002 | log(gdpPercap) | 5.443311 | 0.6963806 | 7.816574 | 0.0000000 |
| Asia | 2007 | log(gdpPercap) | 5.157259 | 0.6938654 | 7.432651 | 0.0000000 |
| Europe | 1952 | log(gdpPercap) | 9.004054 | 0.9871368 | 9.121384 | 0.0000000 |
| Europe | 1957 | log(gdpPercap) | 7.448632 | 0.9450840 | 7.881450 | 0.0000000 |
| Europe | 1962 | log(gdpPercap) | 5.912350 | 0.8530460 | 6.930868 | 0.0000002 |
| Europe | 1967 | log(gdpPercap) | 5.430009 | 0.7964583 | 6.817694 | 0.0000002 |
| Europe | 1972 | log(gdpPercap) | 4.506842 | 0.7571422 | 5.952438 | 0.0000021 |
| Europe | 1977 | log(gdpPercap) | 4.487710 | 0.7559818 | 5.936266 | 0.0000022 |
| Europe | 1982 | log(gdpPercap) | 4.370204 | 0.7910998 | 5.524214 | 0.0000066 |
| Europe | 1987 | log(gdpPercap) | 4.144326 | 0.7523846 | 5.508254 | 0.0000069 |
| Europe | 1992 | log(gdpPercap) | 3.483074 | 0.5450157 | 6.390777 | 0.0000006 |
| Europe | 1997 | log(gdpPercap) | 3.759339 | 0.5068161 | 7.417560 | 0.0000000 |
| Europe | 2002 | log(gdpPercap) | 3.739622 | 0.4452979 | 8.398022 | 0.0000000 |
| Europe | 2007 | log(gdpPercap) | 4.226891 | 0.5246111 | 8.057190 | 0.0000000 |
| Africa | 1952 | log(gdpPercap) | 2.337502 | 0.9714374 | 2.406230 | 0.0198559 |
| Africa | 1957 | log(gdpPercap) | 2.687954 | 1.0555398 | 2.546521 | 0.0140063 |
| Africa | 1962 | log(gdpPercap) | 2.756273 | 1.0584146 | 2.604153 | 0.0120951 |
| Africa | 1967 | log(gdpPercap) | 3.068467 | 0.9882165 | 3.105056 | 0.0031303 |
| Africa | 1972 | log(gdpPercap) | 3.803497 | 0.9624671 | 3.951820 | 0.0002439 |
| Africa | 1977 | log(gdpPercap) | 4.509730 | 0.9200603 | 4.901559 | 0.0000104 |
| Africa | 1982 | log(gdpPercap) | 5.614144 | 0.8975984 | 6.254628 | 0.0000001 |
| Africa | 1987 | log(gdpPercap) | 6.478642 | 0.8977865 | 7.216239 | 0.0000000 |
| Africa | 1992 | log(gdpPercap) | 7.332773 | 1.1048259 | 6.637039 | 0.0000000 |
| Africa | 1997 | log(gdpPercap) | 6.885190 | 1.0361925 | 6.644702 | 0.0000000 |
| Africa | 2002 | log(gdpPercap) | 5.161485 | 1.2133718 | 4.253836 | 0.0000920 |
| Africa | 2007 | log(gdpPercap) | 4.260876 | 1.1906864 | 3.578504 | 0.0007793 |
| Americas | 1952 | log(gdpPercap) | 10.440891 | 2.7158881 | 3.844375 | 0.0008273 |
| Americas | 1957 | log(gdpPercap) | 10.324214 | 2.3966385 | 4.307789 | 0.0002614 |
| Americas | 1962 | log(gdpPercap) | 10.392712 | 2.2729647 | 4.572316 | 0.0001352 |
| Americas | 1967 | log(gdpPercap) | 8.723394 | 1.9798350 | 4.406122 | 0.0002046 |
| Americas | 1972 | log(gdpPercap) | 8.472344 | 1.7820437 | 4.754285 | 0.0000859 |
| Americas | 1977 | log(gdpPercap) | 8.214429 | 1.8265673 | 4.497195 | 0.0001630 |
| Americas | 1982 | log(gdpPercap) | 8.429255 | 1.5629293 | 5.393241 | 0.0000177 |
| Americas | 1987 | log(gdpPercap) | 7.098118 | 1.1351988 | 6.252753 | 0.0000022 |
| Americas | 1992 | log(gdpPercap) | 6.055116 | 0.8945236 | 6.769096 | 0.0000007 |
| Americas | 1997 | log(gdpPercap) | 5.394425 | 0.8590215 | 6.279732 | 0.0000021 |
| Americas | 2002 | log(gdpPercap) | 5.054808 | 0.8442795 | 5.987127 | 0.0000042 |
| Americas | 2007 | log(gdpPercap) | 4.494066 | 0.7515981 | 5.979347 | 0.0000043 |
ggplot2::ggplot(lm_data) +
aes(
x = year, y = estimate,
ymin = estimate - 1.96*std.error,
ymax = estimate + 1.96*std.error,
color = continent
) +
geom_pointrange(
position = position_dodge(width = 1)
) +
scale_x_continuous(
breaks = unique(gapminder$year)
) +
theme(legend.position = "top")
# The ggdist package provides many different visualizations of uncertainty
# Half-eyes
lm_data %>%
filter(year == 1952) %>%
mutate(
continent =
fct_reorder(continent, estimate)
) %>%
ggplot2::ggplot(aes(x = estimate, y = continent)) +
ggdist::stat_dist_halfeye(
aes(dist = dist_normal(
mu = estimate, sigma = std.error
)),
point_size = 4
)
# Gradients interval
lm_data %>%
filter(year == 1952) %>%
mutate(
continent =
fct_reorder(continent, estimate)
) %>%
ggplot2::ggplot(aes(x = estimate, y = continent)) +
ggdist::stat_dist_gradientinterval(
aes(dist = dist_normal(
mu = estimate, sigma = std.error
)),
point_size = 4,
fill = "skyblue"
)
# Dots interval
lm_data %>%
filter(year == 1952) %>%
mutate(
continent =
fct_reorder(continent, estimate)
) %>%
ggplot2::ggplot(aes(x = estimate, y = continent)) +
ggdist::stat_dist_dotsinterval(
aes(dist = dist_normal(
mu = estimate, sigma = std.error
)),
point_size = 4,
fill = "skyblue",
quantiles = 20
)
lm_data %>%
filter(year == 1952) %>%
mutate(
continent =
fct_reorder(continent, estimate)
) %>%
ggplot2::ggplot(aes(x = estimate, y = continent)) +
ggdist::stat_dist_dotsinterval(
aes(dist = dist_normal(
mu = estimate, sigma = std.error
)),
point_size = 4,
fill = "skyblue",
quantiles = 10
)
4.13 Dimension reduction
blue_jays <- read_csv("input/blue_jays.csv")
blue_jays %>%
ggplot() +
aes(skull_size_mm, head_length_mm) +
geom_point(aes(color = sex))
# Plot with scaling
blue_jays %>%
# scale all numeric columns
mutate(across(where(is.numeric), scale)) %>%
ggplot() +
aes(skull_size_mm, head_length_mm) +
geom_point(aes(color = sex))
# We perform a PCA with prcomp()
pca_fit <- blue_jays %>%
select(where(is.numeric)) %>% # retain only numeric columns
scale() %>% # scale to zero mean and unit variance
prcomp() # do PCA
# Then we add PC coordinates into original dataset and plot
pca_fit %>%
# add PCs to the original dataset
augment(blue_jays) %>%
ggplot(aes(.fittedPC1, .fittedPC2)) +
geom_point(aes(color = sex))
# Plot PC 2 against PC 1
pca_fit %>%
# add PCs to the original dataset
augment(blue_jays) %>%
ggplot(aes(.fittedPC1, .fittedPC2)) +
geom_point(aes(color = sex))
# Plot PC 3 against PC 2
pca_fit %>%
# add PCs to the original dataset
augment(blue_jays) %>%
ggplot(aes(.fittedPC2, .fittedPC3)) +
geom_point(aes(color = sex))
# Plot the rotation matrix
arrow_style <- arrow(
angle = 20, length = grid::unit(8, "pt"),
ends = "first", type = "closed"
)
pca_fit %>%
# extract rotation matrix
tidy(matrix = "rotation") %>%
pivot_wider(
names_from = "PC", values_from = "value",
names_prefix = "PC"
) %>%
ggplot(aes(PC1, PC2)) +
geom_segment(
xend = 0, yend = 0,
arrow = arrow_style
) +
geom_text(aes(label = column), hjust = 1) +
xlim(-1.5, 0.5) + ylim(-1, 1) +
coord_fixed()
# Plot the variance explained
pca_fit %>%
# extract eigenvalues
tidy(matrix = "eigenvalues") %>%
ggplot(aes(PC, percent)) +
geom_col() +
scale_x_continuous(
# create one axis tick per PC
breaks = 1:6
) +
scale_y_continuous(
name = "variance explained",
# format y axis ticks as percent values
label = scales::label_percent(accuracy = 1)
)
4.14 Clustering
ggplot(iris, aes(Petal.Length, Petal.Width, color = Species)) +
geom_point()
# We perform k-means clustering with kmeans()
km_fit <- iris %>%
select(where(is.numeric)) %>%
kmeans(
centers = 3, # number of cluster centers
nstart = 10 # number of independent restarts of the algorithm
)
km_fit## K-means clustering with 3 clusters of sizes 62, 38, 50
##
## Cluster means:
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## 1 5.901613 2.748387 4.393548 1.433871
## 2 6.850000 3.073684 5.742105 2.071053
## 3 5.006000 3.428000 1.462000 0.246000
##
## Clustering vector:
## [1] 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
## [38] 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [75] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2 1 2 2 2 2
## [112] 2 2 1 1 2 2 2 2 1 2 1 2 1 2 2 1 1 2 2 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 1 2
## [149] 2 1
##
## Within cluster sum of squares by cluster:
## [1] 39.82097 23.87947 15.15100
## (between_SS / total_SS = 88.4 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss" "tot.withinss"
## [6] "betweenss" "size" "iter" "ifault"4.15 Visualizing Spatial Data
# data
texas_income <- readRDS("input/Texas_income.rds")
ggplot(texas_income) +
geom_sf()
# plot only Travis County
texas_income %>%
filter(county == "Travis") %>%
ggplot() +
geom_sf()
# plot the ten richest counties
texas_income %>%
slice_max(median_income, n = 10) %>%
ggplot() +
geom_sf()
# color counties by median income
texas_income %>%
ggplot(aes(fill = median_income)) +
geom_sf()
# highlight the ten richest counties
texas_income %>%
mutate(
top_ten = rank(desc(median_income)) <= 10
) %>%
ggplot(aes(fill = top_ten)) +
geom_sf(color = "black", size = 0.1) +
scale_fill_manual(
name = NULL,
values = c(
`TRUE` = "#D55E00",
`FALSE` = "#E8EEF9"
),
breaks = c(TRUE),
labels = "top-10 median income"
) +
theme_minimal_grid(11)
ggplot(texas_income) +
geom_sf(
aes(fill = median_income),
color = "black", size = 0.1
) +
colorspace::scale_fill_continuous_sequential(
palette = "Blues", rev = TRUE
) +
theme_minimal_grid(11)
# We can customize the projection with coord_sf()
ggplot(texas_income) +
geom_sf(
aes(fill = median_income),
color = "black", size = 0.1
) +
colorspace::scale_fill_continuous_sequential(
palette = "Blues", rev = TRUE
) +
coord_sf(
# Texas Centric Albers Equal Area
crs = 3083
) +
theme_minimal_grid(11)
ggplot(texas_income) +
geom_sf(
aes(fill = median_income),
color = "black", size = 0.1
) +
colorspace::scale_fill_continuous_sequential(
palette = "Blues", rev = TRUE
) +
coord_sf(
# Texas Centric Lambert Conformal Conic
crs = 32139
) +
theme_minimal_grid(11)
ggplot(texas_income) +
geom_sf(
aes(fill = median_income),
color = "black", size = 0.1
) +
colorspace::scale_fill_continuous_sequential(
palette = "Blues", rev = TRUE
) +
coord_sf(
# Web Mercator (Google Maps)
crs = 3857
) +
theme_minimal_grid(11)
4.16 Color spaces and color-vision deficiency (no R code)
4.17 Redundant coding, text annotations
# all data
tech_stocks <- read_csv("input/tech_stocks.csv") %>%
mutate(date = ymd(date))
# Most recent values only
tech_stocks_last <- tech_stocks %>%
filter(date == max(date))
tech_stocks_last| company | ticker | date | price | index_price | price_indexed |
|---|---|---|---|---|---|
| Alphabet | GOOG | 2017-06-02 | 975.60 | 285.20 | 342.0757 |
| Apple | AAPL | 2017-06-02 | 155.45 | 80.14 | 193.9730 |
| FB | 2017-06-02 | 153.61 | 27.72 | 554.1486 | |
| Microsoft | MSFT | 2017-06-02 | 71.76 | 28.45 | 252.2320 |
# Secondary axis trick
ggplot(tech_stocks) +
aes(x = date, y = price_indexed) +
geom_line(aes(color = company), na.rm = TRUE) +
scale_x_date(
limits = c(
ymd("2012-06-01"),
ymd("2017-05-31")
),
expand = c(0, 0)
) +
scale_y_continuous(
limits = c(0, 560),
expand = c(0, 0),
sec.axis = dup_axis(
breaks = tech_stocks_last$price_indexed,
labels = tech_stocks_last$company,
name = NULL
)
) +
guides(color = "none")
# Manual labeling with geom_text()
# Manually create table with label positions
iris_labels <- tibble(
Species = c("setosa", "virginica", "versicolor"),
Sepal.Width = c(4.2, 3.76, 2.08),
Sepal.Length = c(5.7, 7, 5.1),
label = c("Iris setosa", "Iris virginica", "Iris versicolor"),
hjust = c(0, 0.5, 0),
vjust = c(0, 0.5, 1)
)
iris_labels| Species | Sepal.Width | Sepal.Length | label | hjust | vjust |
|---|---|---|---|---|---|
| setosa | 4.20 | 5.7 | Iris setosa | 0.0 | 0.0 |
| virginica | 3.76 | 7.0 | Iris virginica | 0.5 | 0.5 |
| versicolor | 2.08 | 5.1 | Iris versicolor | 0.0 | 1.0 |
# And plotting
ggplot(iris) +
aes(Sepal.Length, Sepal.Width, color = Species) +
geom_point(aes(shape = Species)) +
geom_text(
data = iris_labels,
aes(
label = label,
hjust = hjust, vjust = vjust
),
size = 14/.pt # 14pt font
) +
stat_ellipse(size = 0.5) + # add ellipses
guides(color = "none", shape = "none")
# Automatic labeling with geom_text_repel()
mtcars_named <- mtcars %>%
rownames_to_column("car") %>% # rownames to column car
select(car, weight = wt, mpg)
mtcars_named| car | weight | mpg |
|---|---|---|
| Mazda RX4 | 2.620 | 21.0 |
| Mazda RX4 Wag | 2.875 | 21.0 |
| Datsun 710 | 2.320 | 22.8 |
| Hornet 4 Drive | 3.215 | 21.4 |
| Hornet Sportabout | 3.440 | 18.7 |
| Valiant | 3.460 | 18.1 |
| Duster 360 | 3.570 | 14.3 |
| Merc 240D | 3.190 | 24.4 |
| Merc 230 | 3.150 | 22.8 |
| Merc 280 | 3.440 | 19.2 |
| Merc 280C | 3.440 | 17.8 |
| Merc 450SE | 4.070 | 16.4 |
| Merc 450SL | 3.730 | 17.3 |
| Merc 450SLC | 3.780 | 15.2 |
| Cadillac Fleetwood | 5.250 | 10.4 |
| Lincoln Continental | 5.424 | 10.4 |
| Chrysler Imperial | 5.345 | 14.7 |
| Fiat 128 | 2.200 | 32.4 |
| Honda Civic | 1.615 | 30.4 |
| Toyota Corolla | 1.835 | 33.9 |
| Toyota Corona | 2.465 | 21.5 |
| Dodge Challenger | 3.520 | 15.5 |
| AMC Javelin | 3.435 | 15.2 |
| Camaro Z28 | 3.840 | 13.3 |
| Pontiac Firebird | 3.845 | 19.2 |
| Fiat X1-9 | 1.935 | 27.3 |
| Porsche 914-2 | 2.140 | 26.0 |
| Lotus Europa | 1.513 | 30.4 |
| Ford Pantera L | 3.170 | 15.8 |
| Ferrari Dino | 2.770 | 19.7 |
| Maserati Bora | 3.570 | 15.0 |
| Volvo 142E | 2.780 | 21.4 |
ggplot(mtcars_named, aes(weight, mpg)) +
geom_point() +
geom_text_repel(
aes(label = car),
max.overlaps = Inf
)
set.seed(42)
mtcars_named %>%
mutate(
# randomly exclude 50% of the labels
car = ifelse(runif(n()) < 0.5, "", car)
) %>%
ggplot(aes(weight, mpg)) +
geom_point() +
geom_text_repel(
aes(label = car),
max.overlaps = Inf,
box.padding = 0.7 # controls how far labels are placed from data points
)
4.18 Interactive plots
# hovering displays species names
# iris_scatter <- ggplot(iris) +
# aes(
# Sepal.Length, Sepal.Width,
# color = Species
# ) +
# geom_point_interactive(
# aes(tooltip = Species)
# )
#
# girafe(
# ggobj = iris_scatter,
# width_svg = 6,
# height_svg = 6*0.618
# )
#
# # Styling happens via Cascading Style Sheets (CSS)
# girafe(
# ggobj = iris_scatter,
# width_svg = 6,
# height_svg = 6*0.618,
# options = list(
# opts_tooltip(
# css = "background: #F5F5F5; color: #191970;"
# )
# )
# )
#
# # Select multiple points at once with data_id aesthetic
# iris_scatter <- ggplot(iris) +
# aes(
# Sepal.Length, Sepal.Width,
# color = Species
# ) +
# geom_point_interactive(
# aes(data_id = Species),
# size = 2
# )
#
# girafe(
# ggobj = iris_scatter,
# width_svg = 6,
# height_svg = 6*0.618
# )
#
# # Via CSS
# girafe(
# ggobj = iris_scatter,
# width_svg = 6,
# height_svg = 6*0.618,
# options = list(
# opts_hover(css = "fill: #202020;"),
# opts_hover_inv(css = "opacity: 0.2;")
# )
# )
#
# # Interactive map example
# # load data
# US_states <- readRDS(url("https://wilkelab.org/SDS375/datasets/US_states.rds"))
# US_states
#
# # plotting
# US_map <- US_states %>%
# ggplot() +
# geom_sf_interactive(
# aes(data_id = name, tooltip = name)
# ) +
# theme_void()
#
# girafe(
# ggobj = US_map,
# width_svg = 6,
# height_svg = 6*0.618
# )
#
# # Click to open a state's wikipedia page
# US_map <- US_states %>%
# mutate( # JavaScript call to open website
# onclick = glue::glue(
# 'window.open(
# "https://en.wikipedia.org/wiki/{name}")')
# ) %>%
# ggplot() +
# geom_sf_interactive(
# aes(
# data_id = name, tooltip = name,
# onclick = onclick
# )
# ) +
# theme_void()
#
# girafe(
# ggobj = US_map,
# width_svg = 6,
# height_svg = 6*0.618
# )4.19 Handling overlapping points
# Contour lines
blue_jays %>%
ggplot(aes(body_mass_g, head_length_mm)) +
geom_density_2d() +
geom_point() +
theme_bw(14)
blue_jays %>%
ggplot(aes(body_mass_g, head_length_mm)) +
geom_density_2d(bins = 5) +
geom_point() +
theme_bw(14)
ggplot(blue_jays, aes(body_mass_g, head_length_mm)) +
geom_density_2d_filled(bins = 5, alpha = 0.5) +
geom_density_2d(bins = 5, color = "black", size = 0.2) +
geom_point() +
theme_bw(14)
# 2D histograms
ggplot(blue_jays, aes(body_mass_g, head_length_mm)) +
geom_bin2d() +
theme_bw(14)
ggplot(blue_jays, aes(body_mass_g, head_length_mm)) +
geom_bin2d(binwidth = c(3, 3)) +
theme_bw(14)
ggplot(blue_jays, aes(body_mass_g, head_length_mm)) +
geom_bin2d(binwidth = c(1, 5)) +
theme_bw(14)
ggplot(blue_jays, aes(body_mass_g, head_length_mm)) +
geom_bin2d(binwidth = c(5, 1)) +
theme_bw(14)
# Hex bins
ggplot(blue_jays, aes(body_mass_g, head_length_mm)) +
geom_hex() +
theme_bw(14)
ggplot(blue_jays, aes(body_mass_g, head_length_mm)) +
geom_hex(bins = 15) +
theme_bw(14)
ggplot(blue_jays, aes(body_mass_g, head_length_mm)) +
geom_hex(bins = 10) +
theme_bw(14)
4.20 Compound figures
# The patchwork package#
# make first plot
p1 <- ggplot(mtcars) +
geom_point(aes(mpg, disp))
# make second plot
p2 <- ggplot(mtcars) +
aes(gear, disp, group = gear) +
geom_boxplot()
# place plots side-by-side
p1 | p2
# make first plot
p1 <- ggplot(mtcars) +
geom_point(aes(mpg, disp))
# make second plot
p2 <- ggplot(mtcars) +
aes(gear, disp, group = gear) +
geom_boxplot()
# place plots side-by-side
p1 | p2
# make first plot
p1 <- ggplot(mtcars) +
geom_point(aes(mpg, disp))
# make second plot
p2 <- ggplot(mtcars) +
aes(gear, disp, group = gear) +
geom_boxplot()
# place plots on top of one-another
p1 / p2
# add a few more plots
p3 <- ggplot(mtcars) +
geom_smooth(aes(disp, qsec))
p4 <- ggplot(mtcars) +
geom_bar(aes(carb))
# make complex arrangement
(p1 | p2 | p3) / p4
# Plot annotations and themes
(p1 | p2 | p3) / p4 +
plot_annotation(
tag_levels = "a"
)
(p1 | p2 | p3) / p4 +
plot_annotation(
tag_levels = "a"
) &
theme_minimal_grid()
(p1 | p2 | p3) / p4 +
plot_annotation(
tag_levels = "a",
title = "A plot about mtcars",
subtitle = "With subtitle...",
caption = "...and caption"
) &
theme_minimal_grid()
4.21 Functions and functional programming
# Avoid hard-coding specific values
penguins %>%
filter(species == "Gentoo") %>%
ggplot() +
aes(bill_length_mm, body_mass_g) +
geom_point() +
ggtitle("Species: Gentoo") +
xlab("bill length (mm)") +
ylab("body mass (g)") +
theme_minimal_grid() +
theme(plot.title.position = "plot")
# species = "Adelie" # value
# species = "Chinstrap" # value
species = "Gentoo" # value
penguins %>%
filter(.data$species == .env$species) %>% #.data = column in df
ggplot() + #.env var en local env
aes(bill_length_mm, body_mass_g) +
geom_point() +
ggtitle(glue("Species: {species}")) +
xlab("bill length (mm)") +
ylab("body mass (g)") +
theme_minimal_grid() +
theme(plot.title.position = "plot")
# Define a function
make_plot <- function(species) {
penguins %>%
filter(.data$species == .env$species) %>%
ggplot() +
aes(bill_length_mm, body_mass_g) +
geom_point() +
ggtitle(glue("Species: {species}")) +
xlab("bill length (mm)") +
ylab("body mass (g)") +
theme_minimal_grid() +
theme(plot.title.position = "plot")
}
make_plot("Adelie")
make_plot("Chinstrap")
make_plot("Gentoo")
# Automate calling the function
species <- c("Adelie", "Chinstrap", "Gentoo")
plots <- map(species, make_plot) # map takes each element of the vector species and uses it as input for make_plot()
# It returns a list of created plots:
plots[[1]]
plots[[2]]
plots[[3]]
# `walk()` is like `map()` but doesn't return a value
# we use it only for side effects (such as printing)
walk(plots, print)
# Write a more general function
make_plot <- function(species) {
penguins %>% # hard-coded dataset!
filter(.data$species == .env$species) %>%
ggplot() +
aes(bill_length_mm, body_mass_g) +
geom_point() +
ggtitle(glue("Species: {species}")) +
xlab("bill length (mm)") +
ylab("body mass (g)") +
theme_minimal_grid() +
theme(plot.title.position = "plot")
}
make_plot2 <- function(data, species) {
data %>%
# filter no longer needed
ggplot() +
aes(bill_length_mm, body_mass_g) +
geom_point() +
ggtitle(glue("Species: {species}")) +
xlab("bill length (mm)") +
ylab("body mass (g)") +
theme_minimal_grid() +
theme(plot.title.position = "plot")
}
data_adelie <- penguins %>%
filter(species == "Adelie")
make_plot2(data_adelie, species = "Adelie")
# Use these concepts in a tidy pipeline
penguins %>%
nest(data = -species) %>%
mutate(plots = map2(data, species, make_plot2)) %>% # map2() is like map() but for functions with 2 arguments
pull(plots) %>%
walk(print)
4.22 Animations
# load data
gdp_ranked <- read_csv("input/gdp_ranked.csv") %>%
mutate(rank = fct_rev(factor(rank)))
# Think of an animation as faceting by time
gdp_ranked %>%
filter(year > 1985 & year %% 5 == 0) %>%
ggplot(aes(gdp, rank)) +
geom_col(aes(fill = country)) +
facet_wrap(vars(year))
gdp_ranked %>%
# gganimate uses the `group` aesthetic to track objects across frames
ggplot(aes(gdp, rank, group = country)) +
geom_col(aes(fill = country)) +
transition_states(year, transition_length = 5)
gdp_ranked %>%
ggplot(aes(gdp, rank, group = country)) +
geom_col(aes(fill = country)) +
geom_text(
aes(x = -200, label = country),
hjust = 1, size = 14/.pt
) +
xlim(-7000, 23000) +
labs(title = "year: {closest_state}") +
theme_minimal_vgrid(14, rel_small = 1) +
theme(
axis.text.y = element_blank(),
axis.title.y = element_blank(),
axis.ticks.y = element_blank(),
axis.line.y = element_blank()
) +
guides(fill = "none") +
transition_states(year, transition_length = 5)
selected <- c("China", "Japan",
"United States", "Germany", "Brazil")
gdp_ranked %>%
filter(country %in% selected) %>%
ggplot(aes(year, gdp, color = country)) +
geom_line() +
geom_point(size = 3) +
scale_y_log10() +
transition_reveal(year)
gdp_ranked %>%
filter(country %in% selected) %>%
ggplot(aes(year, gdp, color = country)) +
geom_line() +
geom_point(size = 3) +
geom_text_repel(
aes(label = country),
hjust = 0,
nudge_x = 2,
direction = "y",
xlim = c(NA, Inf)
) +
scale_y_log10() +
guides(color = "none") +
coord_cartesian(clip = "off") +
theme(plot.margin = margin(7, 100, 7, 7)) +
transition_reveal(year)# p <- ggplot(iris, aes(x = Petal.Width, y = Petal.Length)) +
# geom_point()
# p
#
# anim <- p +
# transition_states(Species,
# transition_length = 2,
# state_length = 1)
#
# anim5 Data visualisation using R, for researchers who don’t use R
5.1 Getting Started
# set default theme
theme_set(theme_minimal())
# load data
dat <- read_csv(file = "input/ldt_data.csv")
headTail(dat)| id | age | language | rt_word | rt_nonword | acc_word | acc_nonword |
|---|---|---|---|---|---|---|
| S001 | 22 | 1 | 379.46 | 516.82 | 99 | 90 |
| S002 | 33 | 1 | 312.45 | 435.04 | 94 | 82 |
| S003 | 23 | 1 | 404.94 | 458.5 | 96 | 87 |
| S004 | 28 | 1 | 298.37 | 335.89 | 92 | 76 |
| NA | … | … | … | … | … | … |
| S097 | 22 | 2 | 370.5 | 555.91 | 97 | 83 |
| S098 | 29 | 2 | 331.15 | 532.29 | 93 | 77 |
| S099 | 26 | 2 | 274.55 | 536.64 | 92 | 81 |
| S100 | 43 | 2 | 351.22 | 601.34 | 95 | 83 |
# recode factor var language
#
# Option 1 (mutate)
dat <- dat |>
mutate(language = factor(
x = language,
levels = c(1, 2),
labels = c("monolingual", "bilingual")
))
# Option 2 (within)
# dat <- within(dat, language <- factor(language, levels = c(1, 2), labels = c("monolingual", "bilingual")))
headTail(dat)| id | age | language | rt_word | rt_nonword | acc_word | acc_nonword |
|---|---|---|---|---|---|---|
| S001 | 22 | monolingual | 379.46 | 516.82 | 99 | 90 |
| S002 | 33 | monolingual | 312.45 | 435.04 | 94 | 82 |
| S003 | 23 | monolingual | 404.94 | 458.5 | 96 | 87 |
| S004 | 28 | monolingual | 298.37 | 335.89 | 92 | 76 |
| NA | … | NA | … | … | … | … |
| S097 | 22 | bilingual | 370.5 | 555.91 | 97 | 83 |
| S098 | 29 | bilingual | 331.15 | 532.29 | 93 | 77 |
| S099 | 26 | bilingual | 274.55 | 536.64 | 92 | 81 |
| S100 | 43 | bilingual | 351.22 | 601.34 | 95 | 83 |
5.2 Descriptive Statistics
# Demographic information
# Age mean, sd and counts
age_stats <- dat |>
group_by(language) |>
summarise(
mean_age = mean(age),
sd_age = sd(age),
n_values = n()
)
# plotting bar graph
ggplot(dat, aes(x = language)) +
geom_bar() +
scale_x_discrete(
name = "Language group",
labels = c("Monolingual", "Bilingual")) +
scale_y_continuous(
name = "Number of participants",
breaks = seq(0, 50, 10),
expand = c(0, 0)
) +
theme_minimal_hgrid(
line_size = .3
) +
theme(
axis.line.x.bottom = element_line(color = "black"),
axis.ticks = element_blank(),
panel.grid = element_line(linetype = "dashed")
)
# calculating pct
dat_percent <- dat |>
group_by(language) |>
count() |>
ungroup() |>
mutate(pct = (n/sum(n)*100))
# plotting hist
ggplot(dat_percent, aes(x = language, y = pct)) +
geom_bar(stat = "identity")
ggplot(dat, aes(x = age)) +
geom_histogram(binwidth = 1,
fill = "white",
colour = "black") +
scale_y_continuous(
limits = c(0, 11),
expand = (c(0, 0))
) +
theme_minimal_hgrid(
font_size = 11,
line_size = .3
) +
theme(
axis.line.x.bottom = element_line(size = .3, color = "black"),
axis.ticks.x = element_blank(),
axis.ticks.y = element_blank(),
panel.grid = element_line(linetype = "dashed"),
)
# transforming data: from wide to long
# Step 1
long <- pivot_longer(
data = dat,
cols = rt_word:acc_nonword,
names_to = "dv_condition",
values_to = "dv"
)
long| id | age | language | dv_condition | dv |
|---|---|---|---|---|
| S001 | 22 | monolingual | rt_word | 379.4585 |
| S001 | 22 | monolingual | rt_nonword | 516.8176 |
| S001 | 22 | monolingual | acc_word | 99.0000 |
| S001 | 22 | monolingual | acc_nonword | 90.0000 |
| S002 | 33 | monolingual | rt_word | 312.4513 |
| S002 | 33 | monolingual | rt_nonword | 435.0404 |
| S002 | 33 | monolingual | acc_word | 94.0000 |
| S002 | 33 | monolingual | acc_nonword | 82.0000 |
| S003 | 23 | monolingual | rt_word | 404.9407 |
| S003 | 23 | monolingual | rt_nonword | 458.5022 |
| S003 | 23 | monolingual | acc_word | 96.0000 |
| S003 | 23 | monolingual | acc_nonword | 87.0000 |
| S004 | 28 | monolingual | rt_word | 298.3734 |
| S004 | 28 | monolingual | rt_nonword | 335.8933 |
| S004 | 28 | monolingual | acc_word | 92.0000 |
| S004 | 28 | monolingual | acc_nonword | 76.0000 |
| S005 | 26 | monolingual | rt_word | 316.4250 |
| S005 | 26 | monolingual | rt_nonword | 401.3214 |
| S005 | 26 | monolingual | acc_word | 91.0000 |
| S005 | 26 | monolingual | acc_nonword | 83.0000 |
| S006 | 29 | monolingual | rt_word | 357.1710 |
| S006 | 29 | monolingual | rt_nonword | 367.3355 |
| S006 | 29 | monolingual | acc_word | 96.0000 |
| S006 | 29 | monolingual | acc_nonword | 78.0000 |
| S007 | 20 | monolingual | rt_word | 372.9137 |
| S007 | 20 | monolingual | rt_nonword | 434.7055 |
| S007 | 20 | monolingual | acc_word | 95.0000 |
| S007 | 20 | monolingual | acc_nonword | 86.0000 |
| S008 | 30 | monolingual | rt_word | 326.9963 |
| S008 | 30 | monolingual | rt_nonword | 424.7618 |
| S008 | 30 | monolingual | acc_word | 91.0000 |
| S008 | 30 | monolingual | acc_nonword | 80.0000 |
| S009 | 26 | monolingual | rt_word | 305.8424 |
| S009 | 26 | monolingual | rt_nonword | 454.6146 |
| S009 | 26 | monolingual | acc_word | 94.0000 |
| S009 | 26 | monolingual | acc_nonword | 86.0000 |
| S010 | 22 | monolingual | rt_word | 317.3134 |
| S010 | 22 | monolingual | rt_nonword | 414.4109 |
| S010 | 22 | monolingual | acc_word | 94.0000 |
| S010 | 22 | monolingual | acc_nonword | 88.0000 |
| S011 | 48 | monolingual | rt_word | 449.6311 |
| S011 | 48 | monolingual | rt_nonword | 494.5900 |
| S011 | 48 | monolingual | acc_word | 95.0000 |
| S011 | 48 | monolingual | acc_nonword | 83.0000 |
| S012 | 21 | monolingual | rt_word | 324.6647 |
| S012 | 21 | monolingual | rt_nonword | 396.7591 |
| S012 | 21 | monolingual | acc_word | 95.0000 |
| S012 | 21 | monolingual | acc_nonword | 84.0000 |
| S013 | 31 | monolingual | rt_word | 330.5515 |
| S013 | 31 | monolingual | rt_nonword | 466.4763 |
| S013 | 31 | monolingual | acc_word | 92.0000 |
| S013 | 31 | monolingual | acc_nonword | 82.0000 |
| S014 | 26 | monolingual | rt_word | 355.5141 |
| S014 | 26 | monolingual | rt_nonword | 511.6196 |
| S014 | 26 | monolingual | acc_word | 98.0000 |
| S014 | 26 | monolingual | acc_nonword | 89.0000 |
| S015 | 25 | monolingual | rt_word | 408.7605 |
| S015 | 25 | monolingual | rt_nonword | 487.3767 |
| S015 | 25 | monolingual | acc_word | 97.0000 |
| S015 | 25 | monolingual | acc_nonword | 84.0000 |
| S016 | 24 | monolingual | rt_word | 265.9044 |
| S016 | 24 | monolingual | rt_nonword | 373.2863 |
| S016 | 24 | monolingual | acc_word | 89.0000 |
| S016 | 24 | monolingual | acc_nonword | 83.0000 |
| S017 | 49 | monolingual | rt_word | 411.6540 |
| S017 | 49 | monolingual | rt_nonword | 436.6086 |
| S017 | 49 | monolingual | acc_word | 95.0000 |
| S017 | 49 | monolingual | acc_nonword | 87.0000 |
| S018 | 23 | monolingual | rt_word | 393.3934 |
| S018 | 23 | monolingual | rt_nonword | 494.6254 |
| S018 | 23 | monolingual | acc_word | 94.0000 |
| S018 | 23 | monolingual | acc_nonword | 84.0000 |
| S019 | 36 | monolingual | rt_word | 301.5985 |
| S019 | 36 | monolingual | rt_nonword | 521.4523 |
| S019 | 36 | monolingual | acc_word | 95.0000 |
| S019 | 36 | monolingual | acc_nonword | 83.0000 |
| S020 | 23 | monolingual | rt_word | 372.8018 |
| S020 | 23 | monolingual | rt_nonword | 508.8880 |
| S020 | 23 | monolingual | acc_word | 96.0000 |
| S020 | 23 | monolingual | acc_nonword | 88.0000 |
| S021 | 25 | monolingual | rt_word | 310.7352 |
| S021 | 25 | monolingual | rt_nonword | 327.2975 |
| S021 | 25 | monolingual | acc_word | 92.0000 |
| S021 | 25 | monolingual | acc_nonword | 79.0000 |
| S022 | 35 | monolingual | rt_word | 334.6046 |
| S022 | 35 | monolingual | rt_nonword | 471.5940 |
| S022 | 35 | monolingual | acc_word | 96.0000 |
| S022 | 35 | monolingual | acc_nonword | 80.0000 |
| S023 | 24 | monolingual | rt_word | 356.2256 |
| S023 | 24 | monolingual | rt_nonword | 488.7731 |
| S023 | 24 | monolingual | acc_word | 97.0000 |
| S023 | 24 | monolingual | acc_nonword | 87.0000 |
| S024 | 31 | monolingual | rt_word | 421.9908 |
| S024 | 31 | monolingual | rt_nonword | 428.9551 |
| S024 | 31 | monolingual | acc_word | 99.0000 |
| S024 | 31 | monolingual | acc_nonword | 84.0000 |
| S025 | 26 | monolingual | rt_word | 344.0360 |
| S025 | 26 | monolingual | rt_nonword | 501.9067 |
| S025 | 26 | monolingual | acc_word | 93.0000 |
| S025 | 26 | monolingual | acc_nonword | 86.0000 |
| S026 | 19 | monolingual | rt_word | 332.5621 |
| S026 | 19 | monolingual | rt_nonword | 418.2602 |
| S026 | 19 | monolingual | acc_word | 95.0000 |
| S026 | 19 | monolingual | acc_nonword | 85.0000 |
| S027 | 30 | monolingual | rt_word | 361.3947 |
| S027 | 30 | monolingual | rt_nonword | 388.8271 |
| S027 | 30 | monolingual | acc_word | 96.0000 |
| S027 | 30 | monolingual | acc_nonword | 81.0000 |
| S028 | 42 | monolingual | rt_word | 352.1527 |
| S028 | 42 | monolingual | rt_nonword | 411.6460 |
| S028 | 42 | monolingual | acc_word | 94.0000 |
| S028 | 42 | monolingual | acc_nonword | 84.0000 |
| S029 | 35 | monolingual | rt_word | 368.5695 |
| S029 | 35 | monolingual | rt_nonword | 457.5472 |
| S029 | 35 | monolingual | acc_word | 95.0000 |
| S029 | 35 | monolingual | acc_nonword | 86.0000 |
| S030 | 24 | monolingual | rt_word | 361.4795 |
| S030 | 24 | monolingual | rt_nonword | 415.3485 |
| S030 | 24 | monolingual | acc_word | 95.0000 |
| S030 | 24 | monolingual | acc_nonword | 86.0000 |
| S031 | 21 | monolingual | rt_word | 315.9988 |
| S031 | 21 | monolingual | rt_nonword | 461.4133 |
| S031 | 21 | monolingual | acc_word | 94.0000 |
| S031 | 21 | monolingual | acc_nonword | 88.0000 |
| S032 | 19 | monolingual | rt_word | 329.2842 |
| S032 | 19 | monolingual | rt_nonword | 380.7887 |
| S032 | 19 | monolingual | acc_word | 96.0000 |
| S032 | 19 | monolingual | acc_nonword | 88.0000 |
| S033 | 24 | monolingual | rt_word | 317.4919 |
| S033 | 24 | monolingual | rt_nonword | 356.1347 |
| S033 | 24 | monolingual | acc_word | 91.0000 |
| S033 | 24 | monolingual | acc_nonword | 79.0000 |
| S034 | 19 | monolingual | rt_word | 336.3335 |
| S034 | 19 | monolingual | rt_nonword | 422.6830 |
| S034 | 19 | monolingual | acc_word | 95.0000 |
| S034 | 19 | monolingual | acc_nonword | 87.0000 |
| S035 | 41 | monolingual | rt_word | 353.7729 |
| S035 | 41 | monolingual | rt_nonword | 509.4866 |
| S035 | 41 | monolingual | acc_word | 95.0000 |
| S035 | 41 | monolingual | acc_nonword | 90.0000 |
| S036 | 25 | monolingual | rt_word | 374.7791 |
| S036 | 25 | monolingual | rt_nonword | 455.0422 |
| S036 | 25 | monolingual | acc_word | 96.0000 |
| S036 | 25 | monolingual | acc_nonword | 86.0000 |
| S037 | 30 | monolingual | rt_word | 372.0309 |
| S037 | 30 | monolingual | rt_nonword | 432.4536 |
| S037 | 30 | monolingual | acc_word | 93.0000 |
| S037 | 30 | monolingual | acc_nonword | 81.0000 |
| S038 | 37 | monolingual | rt_word | 350.4335 |
| S038 | 37 | monolingual | rt_nonword | 486.7266 |
| S038 | 37 | monolingual | acc_word | 93.0000 |
| S038 | 37 | monolingual | acc_nonword | 86.0000 |
| S039 | 20 | monolingual | rt_word | 351.0863 |
| S039 | 20 | monolingual | rt_nonword | 480.4578 |
| S039 | 20 | monolingual | acc_word | 93.0000 |
| S039 | 20 | monolingual | acc_nonword | 82.0000 |
| S040 | 28 | monolingual | rt_word | 381.3349 |
| S040 | 28 | monolingual | rt_nonword | 441.9900 |
| S040 | 28 | monolingual | acc_word | 94.0000 |
| S040 | 28 | monolingual | acc_nonword | 85.0000 |
| S041 | 29 | monolingual | rt_word | 400.9932 |
| S041 | 29 | monolingual | rt_nonword | 464.0155 |
| S041 | 29 | monolingual | acc_word | 97.0000 |
| S041 | 29 | monolingual | acc_nonword | 86.0000 |
| S042 | 29 | monolingual | rt_word | 387.3436 |
| S042 | 29 | monolingual | rt_nonword | 422.9989 |
| S042 | 29 | monolingual | acc_word | 95.0000 |
| S042 | 29 | monolingual | acc_nonword | 81.0000 |
| S043 | 28 | monolingual | rt_word | 361.3111 |
| S043 | 28 | monolingual | rt_nonword | 444.7627 |
| S043 | 28 | monolingual | acc_word | 93.0000 |
| S043 | 28 | monolingual | acc_nonword | 81.0000 |
| S044 | 27 | monolingual | rt_word | 320.5438 |
| S044 | 27 | monolingual | rt_nonword | 430.1967 |
| S044 | 27 | monolingual | acc_word | 95.0000 |
| S044 | 27 | monolingual | acc_nonword | 88.0000 |
| S045 | 37 | monolingual | rt_word | 421.4205 |
| S045 | 37 | monolingual | rt_nonword | 410.3928 |
| S045 | 37 | monolingual | acc_word | 98.0000 |
| S045 | 37 | monolingual | acc_nonword | 84.0000 |
| S046 | 24 | monolingual | rt_word | 385.1441 |
| S046 | 24 | monolingual | rt_nonword | 437.9147 |
| S046 | 24 | monolingual | acc_word | 97.0000 |
| S046 | 24 | monolingual | acc_nonword | 88.0000 |
| S047 | 19 | monolingual | rt_word | 364.2024 |
| S047 | 19 | monolingual | rt_nonword | 521.5333 |
| S047 | 19 | monolingual | acc_word | 98.0000 |
| S047 | 19 | monolingual | acc_nonword | 92.0000 |
| S048 | 29 | monolingual | rt_word | 453.8601 |
| S048 | 29 | monolingual | rt_nonword | 527.3333 |
| S048 | 29 | monolingual | acc_word | 96.0000 |
| S048 | 29 | monolingual | acc_nonword | 93.0000 |
| S049 | 29 | monolingual | rt_word | 349.3883 |
| S049 | 29 | monolingual | rt_nonword | 440.0325 |
| S049 | 29 | monolingual | acc_word | 95.0000 |
| S049 | 29 | monolingual | acc_nonword | 82.0000 |
| S050 | 22 | monolingual | rt_word | 346.8406 |
| S050 | 22 | monolingual | rt_nonword | 460.0266 |
| S050 | 22 | monolingual | acc_word | 96.0000 |
| S050 | 22 | monolingual | acc_nonword | 86.0000 |
| S051 | 31 | monolingual | rt_word | 359.2907 |
| S051 | 31 | monolingual | rt_nonword | 439.0429 |
| S051 | 31 | monolingual | acc_word | 93.0000 |
| S051 | 31 | monolingual | acc_nonword | 82.0000 |
| S052 | 32 | monolingual | rt_word | 366.5222 |
| S052 | 32 | monolingual | rt_nonword | 433.3109 |
| S052 | 32 | monolingual | acc_word | 92.0000 |
| S052 | 32 | monolingual | acc_nonword | 85.0000 |
| S053 | 26 | monolingual | rt_word | 376.8269 |
| S053 | 26 | monolingual | rt_nonword | 504.6637 |
| S053 | 26 | monolingual | acc_word | 97.0000 |
| S053 | 26 | monolingual | acc_nonword | 88.0000 |
| S054 | 30 | monolingual | rt_word | 425.8213 |
| S054 | 30 | monolingual | rt_nonword | 569.0931 |
| S054 | 30 | monolingual | acc_word | 97.0000 |
| S054 | 30 | monolingual | acc_nonword | 90.0000 |
| S055 | 26 | monolingual | rt_word | 344.1231 |
| S055 | 26 | monolingual | rt_nonword | 447.2772 |
| S055 | 26 | monolingual | acc_word | 99.0000 |
| S055 | 26 | monolingual | acc_nonword | 89.0000 |
| S056 | 28 | bilingual | rt_word | 323.3023 |
| S056 | 28 | bilingual | rt_nonword | 593.1752 |
| S056 | 28 | bilingual | acc_word | 94.0000 |
| S056 | 28 | bilingual | acc_nonword | 82.0000 |
| S057 | 20 | bilingual | rt_word | 303.0015 |
| S057 | 20 | bilingual | rt_nonword | 557.7900 |
| S057 | 20 | bilingual | acc_word | 92.0000 |
| S057 | 20 | bilingual | acc_nonword | 83.0000 |
| S058 | 30 | bilingual | rt_word | 306.8853 |
| S058 | 30 | bilingual | rt_nonword | 598.3902 |
| S058 | 30 | bilingual | acc_word | 93.0000 |
| S058 | 30 | bilingual | acc_nonword | 85.0000 |
| S059 | 42 | bilingual | rt_word | 361.1029 |
| S059 | 42 | bilingual | rt_nonword | 580.4153 |
| S059 | 42 | bilingual | acc_word | 97.0000 |
| S059 | 42 | bilingual | acc_nonword | 83.0000 |
| S060 | 22 | bilingual | rt_word | 354.6346 |
| S060 | 22 | bilingual | rt_nonword | 601.6694 |
| S060 | 22 | bilingual | acc_word | 95.0000 |
| S060 | 22 | bilingual | acc_nonword | 82.0000 |
| S061 | 19 | bilingual | rt_word | 308.6390 |
| S061 | 19 | bilingual | rt_nonword | 642.5463 |
| S061 | 19 | bilingual | acc_word | 95.0000 |
| S061 | 19 | bilingual | acc_nonword | 88.0000 |
| S062 | 33 | bilingual | rt_word | 479.6013 |
| S062 | 33 | bilingual | rt_nonword | 706.2317 |
| S062 | 33 | bilingual | acc_word | 97.0000 |
| S062 | 33 | bilingual | acc_nonword | 82.0000 |
| S063 | 25 | bilingual | rt_word | 285.6374 |
| S063 | 25 | bilingual | rt_nonword | 628.6810 |
| S063 | 25 | bilingual | acc_word | 96.0000 |
| S063 | 25 | bilingual | acc_nonword | 83.0000 |
| S064 | 21 | bilingual | rt_word | 318.2438 |
| S064 | 21 | bilingual | rt_nonword | 525.0792 |
| S064 | 21 | bilingual | acc_word | 94.0000 |
| S064 | 21 | bilingual | acc_nonword | 88.0000 |
| S065 | 19 | bilingual | rt_word | 256.2833 |
| S065 | 19 | bilingual | rt_nonword | 555.9724 |
| S065 | 19 | bilingual | acc_word | 94.0000 |
| S065 | 19 | bilingual | acc_nonword | 86.0000 |
| S066 | 49 | bilingual | rt_word | 359.9618 |
| S066 | 49 | bilingual | rt_nonword | 634.2251 |
| S066 | 49 | bilingual | acc_word | 96.0000 |
| S066 | 49 | bilingual | acc_nonword | 85.0000 |
| S067 | 42 | bilingual | rt_word | 305.0576 |
| S067 | 42 | bilingual | rt_nonword | 529.1660 |
| S067 | 42 | bilingual | acc_word | 92.0000 |
| S067 | 42 | bilingual | acc_nonword | 84.0000 |
| S068 | 24 | bilingual | rt_word | 379.6834 |
| S068 | 24 | bilingual | rt_nonword | 647.4263 |
| S068 | 24 | bilingual | acc_word | 97.0000 |
| S068 | 24 | bilingual | acc_nonword | 87.0000 |
| S069 | 45 | bilingual | rt_word | 412.4538 |
| S069 | 45 | bilingual | rt_nonword | 672.0647 |
| S069 | 45 | bilingual | acc_word | 96.0000 |
| S069 | 45 | bilingual | acc_nonword | 91.0000 |
| S070 | 34 | bilingual | rt_word | 338.3924 |
| S070 | 34 | bilingual | rt_nonword | 492.8611 |
| S070 | 34 | bilingual | acc_word | 92.0000 |
| S070 | 34 | bilingual | acc_nonword | 81.0000 |
| S071 | 30 | bilingual | rt_word | 421.6405 |
| S071 | 30 | bilingual | rt_nonword | 581.0442 |
| S071 | 30 | bilingual | acc_word | 99.0000 |
| S071 | 30 | bilingual | acc_nonword | 90.0000 |
| S072 | 58 | bilingual | rt_word | 355.7949 |
| S072 | 58 | bilingual | rt_nonword | 589.4649 |
| S072 | 58 | bilingual | acc_word | 94.0000 |
| S072 | 58 | bilingual | acc_nonword | 83.0000 |
| S073 | 35 | bilingual | rt_word | 397.7493 |
| S073 | 35 | bilingual | rt_nonword | 649.2890 |
| S073 | 35 | bilingual | acc_word | 96.0000 |
| S073 | 35 | bilingual | acc_nonword | 88.0000 |
| S074 | 29 | bilingual | rt_word | 296.7600 |
| S074 | 29 | bilingual | rt_nonword | 530.2701 |
| S074 | 29 | bilingual | acc_word | 91.0000 |
| S074 | 29 | bilingual | acc_nonword | 80.0000 |
| S075 | 25 | bilingual | rt_word | 283.7838 |
| S075 | 25 | bilingual | rt_nonword | 569.7511 |
| S075 | 25 | bilingual | acc_word | 93.0000 |
| S075 | 25 | bilingual | acc_nonword | 81.0000 |
| S076 | 30 | bilingual | rt_word | 324.8029 |
| S076 | 30 | bilingual | rt_nonword | 583.1495 |
| S076 | 30 | bilingual | acc_word | 94.0000 |
| S076 | 30 | bilingual | acc_nonword | 83.0000 |
| S077 | 33 | bilingual | rt_word | 293.4677 |
| S077 | 33 | bilingual | rt_nonword | 662.9756 |
| S077 | 33 | bilingual | acc_word | 94.0000 |
| S077 | 33 | bilingual | acc_nonword | 85.0000 |
| S078 | 36 | bilingual | rt_word | 363.7906 |
| S078 | 36 | bilingual | rt_nonword | 649.4659 |
| S078 | 36 | bilingual | acc_word | 97.0000 |
| S078 | 36 | bilingual | acc_nonword | 87.0000 |
| S079 | 26 | bilingual | rt_word | 293.7165 |
| S079 | 26 | bilingual | rt_nonword | 567.1610 |
| S079 | 26 | bilingual | acc_word | 95.0000 |
| S079 | 26 | bilingual | acc_nonword | 87.0000 |
| S080 | 40 | bilingual | rt_word | 427.3684 |
| S080 | 40 | bilingual | rt_nonword | 666.4698 |
| S080 | 40 | bilingual | acc_word | 99.0000 |
| S080 | 40 | bilingual | acc_nonword | 84.0000 |
| S081 | 39 | bilingual | rt_word | 377.6361 |
| S081 | 39 | bilingual | rt_nonword | 651.8712 |
| S081 | 39 | bilingual | acc_word | 95.0000 |
| S081 | 39 | bilingual | acc_nonword | 86.0000 |
| S082 | 41 | bilingual | rt_word | 451.2491 |
| S082 | 41 | bilingual | rt_nonword | 617.4923 |
| S082 | 41 | bilingual | acc_word | 100.0000 |
| S082 | 41 | bilingual | acc_nonword | 92.0000 |
| S083 | 33 | bilingual | rt_word | 306.6871 |
| S083 | 33 | bilingual | rt_nonword | 563.0389 |
| S083 | 33 | bilingual | acc_word | 95.0000 |
| S083 | 33 | bilingual | acc_nonword | 87.0000 |
| S084 | 25 | bilingual | rt_word | 356.0584 |
| S084 | 25 | bilingual | rt_nonword | 658.6612 |
| S084 | 25 | bilingual | acc_word | 96.0000 |
| S084 | 25 | bilingual | acc_nonword | 92.0000 |
| S085 | 34 | bilingual | rt_word | 412.7244 |
| S085 | 34 | bilingual | rt_nonword | 626.4060 |
| S085 | 34 | bilingual | acc_word | 97.0000 |
| S085 | 34 | bilingual | acc_nonword | 87.0000 |
| S086 | 30 | bilingual | rt_word | 344.9887 |
| S086 | 30 | bilingual | rt_nonword | 633.7884 |
| S086 | 30 | bilingual | acc_word | 98.0000 |
| S086 | 30 | bilingual | acc_nonword | 91.0000 |
| S087 | 27 | bilingual | rt_word | 329.0913 |
| S087 | 27 | bilingual | rt_nonword | 635.9451 |
| S087 | 27 | bilingual | acc_word | 94.0000 |
| S087 | 27 | bilingual | acc_nonword | 89.0000 |
| S088 | 22 | bilingual | rt_word | 383.4406 |
| S088 | 22 | bilingual | rt_nonword | 582.7703 |
| S088 | 22 | bilingual | acc_word | 97.0000 |
| S088 | 22 | bilingual | acc_nonword | 88.0000 |
| S089 | 27 | bilingual | rt_word | 294.6573 |
| S089 | 27 | bilingual | rt_nonword | 555.2142 |
| S089 | 27 | bilingual | acc_word | 93.0000 |
| S089 | 27 | bilingual | acc_nonword | 80.0000 |
| S090 | 27 | bilingual | rt_word | 386.6881 |
| S090 | 27 | bilingual | rt_nonword | 644.5688 |
| S090 | 27 | bilingual | acc_word | 94.0000 |
| S090 | 27 | bilingual | acc_nonword | 88.0000 |
| S091 | 38 | bilingual | rt_word | 333.9251 |
| S091 | 38 | bilingual | rt_nonword | 570.6841 |
| S091 | 38 | bilingual | acc_word | 96.0000 |
| S091 | 38 | bilingual | acc_nonword | 83.0000 |
| S092 | 30 | bilingual | rt_word | 381.4393 |
| S092 | 30 | bilingual | rt_nonword | 579.6419 |
| S092 | 30 | bilingual | acc_word | 98.0000 |
| S092 | 30 | bilingual | acc_nonword | 83.0000 |
| S093 | 51 | bilingual | rt_word | 415.8978 |
| S093 | 51 | bilingual | rt_nonword | 692.2597 |
| S093 | 51 | bilingual | acc_word | 97.0000 |
| S093 | 51 | bilingual | acc_nonword | 90.0000 |
| S094 | 18 | bilingual | rt_word | 327.5815 |
| S094 | 18 | bilingual | rt_nonword | 576.2896 |
| S094 | 18 | bilingual | acc_word | 94.0000 |
| S094 | 18 | bilingual | acc_nonword | 84.0000 |
| S095 | 30 | bilingual | rt_word | 353.7837 |
| S095 | 30 | bilingual | rt_nonword | 592.7136 |
| S095 | 30 | bilingual | acc_word | 96.0000 |
| S095 | 30 | bilingual | acc_nonword | 83.0000 |
| S096 | 50 | bilingual | rt_word | 331.0409 |
| S096 | 50 | bilingual | rt_nonword | 530.9726 |
| S096 | 50 | bilingual | acc_word | 94.0000 |
| S096 | 50 | bilingual | acc_nonword | 77.0000 |
| S097 | 22 | bilingual | rt_word | 370.4969 |
| S097 | 22 | bilingual | rt_nonword | 555.9138 |
| S097 | 22 | bilingual | acc_word | 97.0000 |
| S097 | 22 | bilingual | acc_nonword | 83.0000 |
| S098 | 29 | bilingual | rt_word | 331.1488 |
| S098 | 29 | bilingual | rt_nonword | 532.2910 |
| S098 | 29 | bilingual | acc_word | 93.0000 |
| S098 | 29 | bilingual | acc_nonword | 77.0000 |
| S099 | 26 | bilingual | rt_word | 274.5491 |
| S099 | 26 | bilingual | rt_nonword | 536.6449 |
| S099 | 26 | bilingual | acc_word | 92.0000 |
| S099 | 26 | bilingual | acc_nonword | 81.0000 |
| S100 | 43 | bilingual | rt_word | 351.2182 |
| S100 | 43 | bilingual | rt_nonword | 601.3442 |
| S100 | 43 | bilingual | acc_word | 95.0000 |
| S100 | 43 | bilingual | acc_nonword | 83.0000 |
# Step 2
long2 <- pivot_longer(
data = dat,
cols = rt_word:acc_nonword,
names_sep = "_",
names_to = c("dv_type", "condition"),
values_to = "dv"
)
long2| id | age | language | dv_type | condition | dv |
|---|---|---|---|---|---|
| S001 | 22 | monolingual | rt | word | 379.4585 |
| S001 | 22 | monolingual | rt | nonword | 516.8176 |
| S001 | 22 | monolingual | acc | word | 99.0000 |
| S001 | 22 | monolingual | acc | nonword | 90.0000 |
| S002 | 33 | monolingual | rt | word | 312.4513 |
| S002 | 33 | monolingual | rt | nonword | 435.0404 |
| S002 | 33 | monolingual | acc | word | 94.0000 |
| S002 | 33 | monolingual | acc | nonword | 82.0000 |
| S003 | 23 | monolingual | rt | word | 404.9407 |
| S003 | 23 | monolingual | rt | nonword | 458.5022 |
| S003 | 23 | monolingual | acc | word | 96.0000 |
| S003 | 23 | monolingual | acc | nonword | 87.0000 |
| S004 | 28 | monolingual | rt | word | 298.3734 |
| S004 | 28 | monolingual | rt | nonword | 335.8933 |
| S004 | 28 | monolingual | acc | word | 92.0000 |
| S004 | 28 | monolingual | acc | nonword | 76.0000 |
| S005 | 26 | monolingual | rt | word | 316.4250 |
| S005 | 26 | monolingual | rt | nonword | 401.3214 |
| S005 | 26 | monolingual | acc | word | 91.0000 |
| S005 | 26 | monolingual | acc | nonword | 83.0000 |
| S006 | 29 | monolingual | rt | word | 357.1710 |
| S006 | 29 | monolingual | rt | nonword | 367.3355 |
| S006 | 29 | monolingual | acc | word | 96.0000 |
| S006 | 29 | monolingual | acc | nonword | 78.0000 |
| S007 | 20 | monolingual | rt | word | 372.9137 |
| S007 | 20 | monolingual | rt | nonword | 434.7055 |
| S007 | 20 | monolingual | acc | word | 95.0000 |
| S007 | 20 | monolingual | acc | nonword | 86.0000 |
| S008 | 30 | monolingual | rt | word | 326.9963 |
| S008 | 30 | monolingual | rt | nonword | 424.7618 |
| S008 | 30 | monolingual | acc | word | 91.0000 |
| S008 | 30 | monolingual | acc | nonword | 80.0000 |
| S009 | 26 | monolingual | rt | word | 305.8424 |
| S009 | 26 | monolingual | rt | nonword | 454.6146 |
| S009 | 26 | monolingual | acc | word | 94.0000 |
| S009 | 26 | monolingual | acc | nonword | 86.0000 |
| S010 | 22 | monolingual | rt | word | 317.3134 |
| S010 | 22 | monolingual | rt | nonword | 414.4109 |
| S010 | 22 | monolingual | acc | word | 94.0000 |
| S010 | 22 | monolingual | acc | nonword | 88.0000 |
| S011 | 48 | monolingual | rt | word | 449.6311 |
| S011 | 48 | monolingual | rt | nonword | 494.5900 |
| S011 | 48 | monolingual | acc | word | 95.0000 |
| S011 | 48 | monolingual | acc | nonword | 83.0000 |
| S012 | 21 | monolingual | rt | word | 324.6647 |
| S012 | 21 | monolingual | rt | nonword | 396.7591 |
| S012 | 21 | monolingual | acc | word | 95.0000 |
| S012 | 21 | monolingual | acc | nonword | 84.0000 |
| S013 | 31 | monolingual | rt | word | 330.5515 |
| S013 | 31 | monolingual | rt | nonword | 466.4763 |
| S013 | 31 | monolingual | acc | word | 92.0000 |
| S013 | 31 | monolingual | acc | nonword | 82.0000 |
| S014 | 26 | monolingual | rt | word | 355.5141 |
| S014 | 26 | monolingual | rt | nonword | 511.6196 |
| S014 | 26 | monolingual | acc | word | 98.0000 |
| S014 | 26 | monolingual | acc | nonword | 89.0000 |
| S015 | 25 | monolingual | rt | word | 408.7605 |
| S015 | 25 | monolingual | rt | nonword | 487.3767 |
| S015 | 25 | monolingual | acc | word | 97.0000 |
| S015 | 25 | monolingual | acc | nonword | 84.0000 |
| S016 | 24 | monolingual | rt | word | 265.9044 |
| S016 | 24 | monolingual | rt | nonword | 373.2863 |
| S016 | 24 | monolingual | acc | word | 89.0000 |
| S016 | 24 | monolingual | acc | nonword | 83.0000 |
| S017 | 49 | monolingual | rt | word | 411.6540 |
| S017 | 49 | monolingual | rt | nonword | 436.6086 |
| S017 | 49 | monolingual | acc | word | 95.0000 |
| S017 | 49 | monolingual | acc | nonword | 87.0000 |
| S018 | 23 | monolingual | rt | word | 393.3934 |
| S018 | 23 | monolingual | rt | nonword | 494.6254 |
| S018 | 23 | monolingual | acc | word | 94.0000 |
| S018 | 23 | monolingual | acc | nonword | 84.0000 |
| S019 | 36 | monolingual | rt | word | 301.5985 |
| S019 | 36 | monolingual | rt | nonword | 521.4523 |
| S019 | 36 | monolingual | acc | word | 95.0000 |
| S019 | 36 | monolingual | acc | nonword | 83.0000 |
| S020 | 23 | monolingual | rt | word | 372.8018 |
| S020 | 23 | monolingual | rt | nonword | 508.8880 |
| S020 | 23 | monolingual | acc | word | 96.0000 |
| S020 | 23 | monolingual | acc | nonword | 88.0000 |
| S021 | 25 | monolingual | rt | word | 310.7352 |
| S021 | 25 | monolingual | rt | nonword | 327.2975 |
| S021 | 25 | monolingual | acc | word | 92.0000 |
| S021 | 25 | monolingual | acc | nonword | 79.0000 |
| S022 | 35 | monolingual | rt | word | 334.6046 |
| S022 | 35 | monolingual | rt | nonword | 471.5940 |
| S022 | 35 | monolingual | acc | word | 96.0000 |
| S022 | 35 | monolingual | acc | nonword | 80.0000 |
| S023 | 24 | monolingual | rt | word | 356.2256 |
| S023 | 24 | monolingual | rt | nonword | 488.7731 |
| S023 | 24 | monolingual | acc | word | 97.0000 |
| S023 | 24 | monolingual | acc | nonword | 87.0000 |
| S024 | 31 | monolingual | rt | word | 421.9908 |
| S024 | 31 | monolingual | rt | nonword | 428.9551 |
| S024 | 31 | monolingual | acc | word | 99.0000 |
| S024 | 31 | monolingual | acc | nonword | 84.0000 |
| S025 | 26 | monolingual | rt | word | 344.0360 |
| S025 | 26 | monolingual | rt | nonword | 501.9067 |
| S025 | 26 | monolingual | acc | word | 93.0000 |
| S025 | 26 | monolingual | acc | nonword | 86.0000 |
| S026 | 19 | monolingual | rt | word | 332.5621 |
| S026 | 19 | monolingual | rt | nonword | 418.2602 |
| S026 | 19 | monolingual | acc | word | 95.0000 |
| S026 | 19 | monolingual | acc | nonword | 85.0000 |
| S027 | 30 | monolingual | rt | word | 361.3947 |
| S027 | 30 | monolingual | rt | nonword | 388.8271 |
| S027 | 30 | monolingual | acc | word | 96.0000 |
| S027 | 30 | monolingual | acc | nonword | 81.0000 |
| S028 | 42 | monolingual | rt | word | 352.1527 |
| S028 | 42 | monolingual | rt | nonword | 411.6460 |
| S028 | 42 | monolingual | acc | word | 94.0000 |
| S028 | 42 | monolingual | acc | nonword | 84.0000 |
| S029 | 35 | monolingual | rt | word | 368.5695 |
| S029 | 35 | monolingual | rt | nonword | 457.5472 |
| S029 | 35 | monolingual | acc | word | 95.0000 |
| S029 | 35 | monolingual | acc | nonword | 86.0000 |
| S030 | 24 | monolingual | rt | word | 361.4795 |
| S030 | 24 | monolingual | rt | nonword | 415.3485 |
| S030 | 24 | monolingual | acc | word | 95.0000 |
| S030 | 24 | monolingual | acc | nonword | 86.0000 |
| S031 | 21 | monolingual | rt | word | 315.9988 |
| S031 | 21 | monolingual | rt | nonword | 461.4133 |
| S031 | 21 | monolingual | acc | word | 94.0000 |
| S031 | 21 | monolingual | acc | nonword | 88.0000 |
| S032 | 19 | monolingual | rt | word | 329.2842 |
| S032 | 19 | monolingual | rt | nonword | 380.7887 |
| S032 | 19 | monolingual | acc | word | 96.0000 |
| S032 | 19 | monolingual | acc | nonword | 88.0000 |
| S033 | 24 | monolingual | rt | word | 317.4919 |
| S033 | 24 | monolingual | rt | nonword | 356.1347 |
| S033 | 24 | monolingual | acc | word | 91.0000 |
| S033 | 24 | monolingual | acc | nonword | 79.0000 |
| S034 | 19 | monolingual | rt | word | 336.3335 |
| S034 | 19 | monolingual | rt | nonword | 422.6830 |
| S034 | 19 | monolingual | acc | word | 95.0000 |
| S034 | 19 | monolingual | acc | nonword | 87.0000 |
| S035 | 41 | monolingual | rt | word | 353.7729 |
| S035 | 41 | monolingual | rt | nonword | 509.4866 |
| S035 | 41 | monolingual | acc | word | 95.0000 |
| S035 | 41 | monolingual | acc | nonword | 90.0000 |
| S036 | 25 | monolingual | rt | word | 374.7791 |
| S036 | 25 | monolingual | rt | nonword | 455.0422 |
| S036 | 25 | monolingual | acc | word | 96.0000 |
| S036 | 25 | monolingual | acc | nonword | 86.0000 |
| S037 | 30 | monolingual | rt | word | 372.0309 |
| S037 | 30 | monolingual | rt | nonword | 432.4536 |
| S037 | 30 | monolingual | acc | word | 93.0000 |
| S037 | 30 | monolingual | acc | nonword | 81.0000 |
| S038 | 37 | monolingual | rt | word | 350.4335 |
| S038 | 37 | monolingual | rt | nonword | 486.7266 |
| S038 | 37 | monolingual | acc | word | 93.0000 |
| S038 | 37 | monolingual | acc | nonword | 86.0000 |
| S039 | 20 | monolingual | rt | word | 351.0863 |
| S039 | 20 | monolingual | rt | nonword | 480.4578 |
| S039 | 20 | monolingual | acc | word | 93.0000 |
| S039 | 20 | monolingual | acc | nonword | 82.0000 |
| S040 | 28 | monolingual | rt | word | 381.3349 |
| S040 | 28 | monolingual | rt | nonword | 441.9900 |
| S040 | 28 | monolingual | acc | word | 94.0000 |
| S040 | 28 | monolingual | acc | nonword | 85.0000 |
| S041 | 29 | monolingual | rt | word | 400.9932 |
| S041 | 29 | monolingual | rt | nonword | 464.0155 |
| S041 | 29 | monolingual | acc | word | 97.0000 |
| S041 | 29 | monolingual | acc | nonword | 86.0000 |
| S042 | 29 | monolingual | rt | word | 387.3436 |
| S042 | 29 | monolingual | rt | nonword | 422.9989 |
| S042 | 29 | monolingual | acc | word | 95.0000 |
| S042 | 29 | monolingual | acc | nonword | 81.0000 |
| S043 | 28 | monolingual | rt | word | 361.3111 |
| S043 | 28 | monolingual | rt | nonword | 444.7627 |
| S043 | 28 | monolingual | acc | word | 93.0000 |
| S043 | 28 | monolingual | acc | nonword | 81.0000 |
| S044 | 27 | monolingual | rt | word | 320.5438 |
| S044 | 27 | monolingual | rt | nonword | 430.1967 |
| S044 | 27 | monolingual | acc | word | 95.0000 |
| S044 | 27 | monolingual | acc | nonword | 88.0000 |
| S045 | 37 | monolingual | rt | word | 421.4205 |
| S045 | 37 | monolingual | rt | nonword | 410.3928 |
| S045 | 37 | monolingual | acc | word | 98.0000 |
| S045 | 37 | monolingual | acc | nonword | 84.0000 |
| S046 | 24 | monolingual | rt | word | 385.1441 |
| S046 | 24 | monolingual | rt | nonword | 437.9147 |
| S046 | 24 | monolingual | acc | word | 97.0000 |
| S046 | 24 | monolingual | acc | nonword | 88.0000 |
| S047 | 19 | monolingual | rt | word | 364.2024 |
| S047 | 19 | monolingual | rt | nonword | 521.5333 |
| S047 | 19 | monolingual | acc | word | 98.0000 |
| S047 | 19 | monolingual | acc | nonword | 92.0000 |
| S048 | 29 | monolingual | rt | word | 453.8601 |
| S048 | 29 | monolingual | rt | nonword | 527.3333 |
| S048 | 29 | monolingual | acc | word | 96.0000 |
| S048 | 29 | monolingual | acc | nonword | 93.0000 |
| S049 | 29 | monolingual | rt | word | 349.3883 |
| S049 | 29 | monolingual | rt | nonword | 440.0325 |
| S049 | 29 | monolingual | acc | word | 95.0000 |
| S049 | 29 | monolingual | acc | nonword | 82.0000 |
| S050 | 22 | monolingual | rt | word | 346.8406 |
| S050 | 22 | monolingual | rt | nonword | 460.0266 |
| S050 | 22 | monolingual | acc | word | 96.0000 |
| S050 | 22 | monolingual | acc | nonword | 86.0000 |
| S051 | 31 | monolingual | rt | word | 359.2907 |
| S051 | 31 | monolingual | rt | nonword | 439.0429 |
| S051 | 31 | monolingual | acc | word | 93.0000 |
| S051 | 31 | monolingual | acc | nonword | 82.0000 |
| S052 | 32 | monolingual | rt | word | 366.5222 |
| S052 | 32 | monolingual | rt | nonword | 433.3109 |
| S052 | 32 | monolingual | acc | word | 92.0000 |
| S052 | 32 | monolingual | acc | nonword | 85.0000 |
| S053 | 26 | monolingual | rt | word | 376.8269 |
| S053 | 26 | monolingual | rt | nonword | 504.6637 |
| S053 | 26 | monolingual | acc | word | 97.0000 |
| S053 | 26 | monolingual | acc | nonword | 88.0000 |
| S054 | 30 | monolingual | rt | word | 425.8213 |
| S054 | 30 | monolingual | rt | nonword | 569.0931 |
| S054 | 30 | monolingual | acc | word | 97.0000 |
| S054 | 30 | monolingual | acc | nonword | 90.0000 |
| S055 | 26 | monolingual | rt | word | 344.1231 |
| S055 | 26 | monolingual | rt | nonword | 447.2772 |
| S055 | 26 | monolingual | acc | word | 99.0000 |
| S055 | 26 | monolingual | acc | nonword | 89.0000 |
| S056 | 28 | bilingual | rt | word | 323.3023 |
| S056 | 28 | bilingual | rt | nonword | 593.1752 |
| S056 | 28 | bilingual | acc | word | 94.0000 |
| S056 | 28 | bilingual | acc | nonword | 82.0000 |
| S057 | 20 | bilingual | rt | word | 303.0015 |
| S057 | 20 | bilingual | rt | nonword | 557.7900 |
| S057 | 20 | bilingual | acc | word | 92.0000 |
| S057 | 20 | bilingual | acc | nonword | 83.0000 |
| S058 | 30 | bilingual | rt | word | 306.8853 |
| S058 | 30 | bilingual | rt | nonword | 598.3902 |
| S058 | 30 | bilingual | acc | word | 93.0000 |
| S058 | 30 | bilingual | acc | nonword | 85.0000 |
| S059 | 42 | bilingual | rt | word | 361.1029 |
| S059 | 42 | bilingual | rt | nonword | 580.4153 |
| S059 | 42 | bilingual | acc | word | 97.0000 |
| S059 | 42 | bilingual | acc | nonword | 83.0000 |
| S060 | 22 | bilingual | rt | word | 354.6346 |
| S060 | 22 | bilingual | rt | nonword | 601.6694 |
| S060 | 22 | bilingual | acc | word | 95.0000 |
| S060 | 22 | bilingual | acc | nonword | 82.0000 |
| S061 | 19 | bilingual | rt | word | 308.6390 |
| S061 | 19 | bilingual | rt | nonword | 642.5463 |
| S061 | 19 | bilingual | acc | word | 95.0000 |
| S061 | 19 | bilingual | acc | nonword | 88.0000 |
| S062 | 33 | bilingual | rt | word | 479.6013 |
| S062 | 33 | bilingual | rt | nonword | 706.2317 |
| S062 | 33 | bilingual | acc | word | 97.0000 |
| S062 | 33 | bilingual | acc | nonword | 82.0000 |
| S063 | 25 | bilingual | rt | word | 285.6374 |
| S063 | 25 | bilingual | rt | nonword | 628.6810 |
| S063 | 25 | bilingual | acc | word | 96.0000 |
| S063 | 25 | bilingual | acc | nonword | 83.0000 |
| S064 | 21 | bilingual | rt | word | 318.2438 |
| S064 | 21 | bilingual | rt | nonword | 525.0792 |
| S064 | 21 | bilingual | acc | word | 94.0000 |
| S064 | 21 | bilingual | acc | nonword | 88.0000 |
| S065 | 19 | bilingual | rt | word | 256.2833 |
| S065 | 19 | bilingual | rt | nonword | 555.9724 |
| S065 | 19 | bilingual | acc | word | 94.0000 |
| S065 | 19 | bilingual | acc | nonword | 86.0000 |
| S066 | 49 | bilingual | rt | word | 359.9618 |
| S066 | 49 | bilingual | rt | nonword | 634.2251 |
| S066 | 49 | bilingual | acc | word | 96.0000 |
| S066 | 49 | bilingual | acc | nonword | 85.0000 |
| S067 | 42 | bilingual | rt | word | 305.0576 |
| S067 | 42 | bilingual | rt | nonword | 529.1660 |
| S067 | 42 | bilingual | acc | word | 92.0000 |
| S067 | 42 | bilingual | acc | nonword | 84.0000 |
| S068 | 24 | bilingual | rt | word | 379.6834 |
| S068 | 24 | bilingual | rt | nonword | 647.4263 |
| S068 | 24 | bilingual | acc | word | 97.0000 |
| S068 | 24 | bilingual | acc | nonword | 87.0000 |
| S069 | 45 | bilingual | rt | word | 412.4538 |
| S069 | 45 | bilingual | rt | nonword | 672.0647 |
| S069 | 45 | bilingual | acc | word | 96.0000 |
| S069 | 45 | bilingual | acc | nonword | 91.0000 |
| S070 | 34 | bilingual | rt | word | 338.3924 |
| S070 | 34 | bilingual | rt | nonword | 492.8611 |
| S070 | 34 | bilingual | acc | word | 92.0000 |
| S070 | 34 | bilingual | acc | nonword | 81.0000 |
| S071 | 30 | bilingual | rt | word | 421.6405 |
| S071 | 30 | bilingual | rt | nonword | 581.0442 |
| S071 | 30 | bilingual | acc | word | 99.0000 |
| S071 | 30 | bilingual | acc | nonword | 90.0000 |
| S072 | 58 | bilingual | rt | word | 355.7949 |
| S072 | 58 | bilingual | rt | nonword | 589.4649 |
| S072 | 58 | bilingual | acc | word | 94.0000 |
| S072 | 58 | bilingual | acc | nonword | 83.0000 |
| S073 | 35 | bilingual | rt | word | 397.7493 |
| S073 | 35 | bilingual | rt | nonword | 649.2890 |
| S073 | 35 | bilingual | acc | word | 96.0000 |
| S073 | 35 | bilingual | acc | nonword | 88.0000 |
| S074 | 29 | bilingual | rt | word | 296.7600 |
| S074 | 29 | bilingual | rt | nonword | 530.2701 |
| S074 | 29 | bilingual | acc | word | 91.0000 |
| S074 | 29 | bilingual | acc | nonword | 80.0000 |
| S075 | 25 | bilingual | rt | word | 283.7838 |
| S075 | 25 | bilingual | rt | nonword | 569.7511 |
| S075 | 25 | bilingual | acc | word | 93.0000 |
| S075 | 25 | bilingual | acc | nonword | 81.0000 |
| S076 | 30 | bilingual | rt | word | 324.8029 |
| S076 | 30 | bilingual | rt | nonword | 583.1495 |
| S076 | 30 | bilingual | acc | word | 94.0000 |
| S076 | 30 | bilingual | acc | nonword | 83.0000 |
| S077 | 33 | bilingual | rt | word | 293.4677 |
| S077 | 33 | bilingual | rt | nonword | 662.9756 |
| S077 | 33 | bilingual | acc | word | 94.0000 |
| S077 | 33 | bilingual | acc | nonword | 85.0000 |
| S078 | 36 | bilingual | rt | word | 363.7906 |
| S078 | 36 | bilingual | rt | nonword | 649.4659 |
| S078 | 36 | bilingual | acc | word | 97.0000 |
| S078 | 36 | bilingual | acc | nonword | 87.0000 |
| S079 | 26 | bilingual | rt | word | 293.7165 |
| S079 | 26 | bilingual | rt | nonword | 567.1610 |
| S079 | 26 | bilingual | acc | word | 95.0000 |
| S079 | 26 | bilingual | acc | nonword | 87.0000 |
| S080 | 40 | bilingual | rt | word | 427.3684 |
| S080 | 40 | bilingual | rt | nonword | 666.4698 |
| S080 | 40 | bilingual | acc | word | 99.0000 |
| S080 | 40 | bilingual | acc | nonword | 84.0000 |
| S081 | 39 | bilingual | rt | word | 377.6361 |
| S081 | 39 | bilingual | rt | nonword | 651.8712 |
| S081 | 39 | bilingual | acc | word | 95.0000 |
| S081 | 39 | bilingual | acc | nonword | 86.0000 |
| S082 | 41 | bilingual | rt | word | 451.2491 |
| S082 | 41 | bilingual | rt | nonword | 617.4923 |
| S082 | 41 | bilingual | acc | word | 100.0000 |
| S082 | 41 | bilingual | acc | nonword | 92.0000 |
| S083 | 33 | bilingual | rt | word | 306.6871 |
| S083 | 33 | bilingual | rt | nonword | 563.0389 |
| S083 | 33 | bilingual | acc | word | 95.0000 |
| S083 | 33 | bilingual | acc | nonword | 87.0000 |
| S084 | 25 | bilingual | rt | word | 356.0584 |
| S084 | 25 | bilingual | rt | nonword | 658.6612 |
| S084 | 25 | bilingual | acc | word | 96.0000 |
| S084 | 25 | bilingual | acc | nonword | 92.0000 |
| S085 | 34 | bilingual | rt | word | 412.7244 |
| S085 | 34 | bilingual | rt | nonword | 626.4060 |
| S085 | 34 | bilingual | acc | word | 97.0000 |
| S085 | 34 | bilingual | acc | nonword | 87.0000 |
| S086 | 30 | bilingual | rt | word | 344.9887 |
| S086 | 30 | bilingual | rt | nonword | 633.7884 |
| S086 | 30 | bilingual | acc | word | 98.0000 |
| S086 | 30 | bilingual | acc | nonword | 91.0000 |
| S087 | 27 | bilingual | rt | word | 329.0913 |
| S087 | 27 | bilingual | rt | nonword | 635.9451 |
| S087 | 27 | bilingual | acc | word | 94.0000 |
| S087 | 27 | bilingual | acc | nonword | 89.0000 |
| S088 | 22 | bilingual | rt | word | 383.4406 |
| S088 | 22 | bilingual | rt | nonword | 582.7703 |
| S088 | 22 | bilingual | acc | word | 97.0000 |
| S088 | 22 | bilingual | acc | nonword | 88.0000 |
| S089 | 27 | bilingual | rt | word | 294.6573 |
| S089 | 27 | bilingual | rt | nonword | 555.2142 |
| S089 | 27 | bilingual | acc | word | 93.0000 |
| S089 | 27 | bilingual | acc | nonword | 80.0000 |
| S090 | 27 | bilingual | rt | word | 386.6881 |
| S090 | 27 | bilingual | rt | nonword | 644.5688 |
| S090 | 27 | bilingual | acc | word | 94.0000 |
| S090 | 27 | bilingual | acc | nonword | 88.0000 |
| S091 | 38 | bilingual | rt | word | 333.9251 |
| S091 | 38 | bilingual | rt | nonword | 570.6841 |
| S091 | 38 | bilingual | acc | word | 96.0000 |
| S091 | 38 | bilingual | acc | nonword | 83.0000 |
| S092 | 30 | bilingual | rt | word | 381.4393 |
| S092 | 30 | bilingual | rt | nonword | 579.6419 |
| S092 | 30 | bilingual | acc | word | 98.0000 |
| S092 | 30 | bilingual | acc | nonword | 83.0000 |
| S093 | 51 | bilingual | rt | word | 415.8978 |
| S093 | 51 | bilingual | rt | nonword | 692.2597 |
| S093 | 51 | bilingual | acc | word | 97.0000 |
| S093 | 51 | bilingual | acc | nonword | 90.0000 |
| S094 | 18 | bilingual | rt | word | 327.5815 |
| S094 | 18 | bilingual | rt | nonword | 576.2896 |
| S094 | 18 | bilingual | acc | word | 94.0000 |
| S094 | 18 | bilingual | acc | nonword | 84.0000 |
| S095 | 30 | bilingual | rt | word | 353.7837 |
| S095 | 30 | bilingual | rt | nonword | 592.7136 |
| S095 | 30 | bilingual | acc | word | 96.0000 |
| S095 | 30 | bilingual | acc | nonword | 83.0000 |
| S096 | 50 | bilingual | rt | word | 331.0409 |
| S096 | 50 | bilingual | rt | nonword | 530.9726 |
| S096 | 50 | bilingual | acc | word | 94.0000 |
| S096 | 50 | bilingual | acc | nonword | 77.0000 |
| S097 | 22 | bilingual | rt | word | 370.4969 |
| S097 | 22 | bilingual | rt | nonword | 555.9138 |
| S097 | 22 | bilingual | acc | word | 97.0000 |
| S097 | 22 | bilingual | acc | nonword | 83.0000 |
| S098 | 29 | bilingual | rt | word | 331.1488 |
| S098 | 29 | bilingual | rt | nonword | 532.2910 |
| S098 | 29 | bilingual | acc | word | 93.0000 |
| S098 | 29 | bilingual | acc | nonword | 77.0000 |
| S099 | 26 | bilingual | rt | word | 274.5491 |
| S099 | 26 | bilingual | rt | nonword | 536.6449 |
| S099 | 26 | bilingual | acc | word | 92.0000 |
| S099 | 26 | bilingual | acc | nonword | 81.0000 |
| S100 | 43 | bilingual | rt | word | 351.2182 |
| S100 | 43 | bilingual | rt | nonword | 601.3442 |
| S100 | 43 | bilingual | acc | word | 95.0000 |
| S100 | 43 | bilingual | acc | nonword | 83.0000 |
# Step 3
dat_long <- pivot_wider(
data = long2,
names_from = "dv_type",
values_from = "dv"
)
dat_long| id | age | language | condition | rt | acc |
|---|---|---|---|---|---|
| S001 | 22 | monolingual | word | 379.4585 | 99 |
| S001 | 22 | monolingual | nonword | 516.8176 | 90 |
| S002 | 33 | monolingual | word | 312.4513 | 94 |
| S002 | 33 | monolingual | nonword | 435.0404 | 82 |
| S003 | 23 | monolingual | word | 404.9407 | 96 |
| S003 | 23 | monolingual | nonword | 458.5022 | 87 |
| S004 | 28 | monolingual | word | 298.3734 | 92 |
| S004 | 28 | monolingual | nonword | 335.8933 | 76 |
| S005 | 26 | monolingual | word | 316.4250 | 91 |
| S005 | 26 | monolingual | nonword | 401.3214 | 83 |
| S006 | 29 | monolingual | word | 357.1710 | 96 |
| S006 | 29 | monolingual | nonword | 367.3355 | 78 |
| S007 | 20 | monolingual | word | 372.9137 | 95 |
| S007 | 20 | monolingual | nonword | 434.7055 | 86 |
| S008 | 30 | monolingual | word | 326.9963 | 91 |
| S008 | 30 | monolingual | nonword | 424.7618 | 80 |
| S009 | 26 | monolingual | word | 305.8424 | 94 |
| S009 | 26 | monolingual | nonword | 454.6146 | 86 |
| S010 | 22 | monolingual | word | 317.3134 | 94 |
| S010 | 22 | monolingual | nonword | 414.4109 | 88 |
| S011 | 48 | monolingual | word | 449.6311 | 95 |
| S011 | 48 | monolingual | nonword | 494.5900 | 83 |
| S012 | 21 | monolingual | word | 324.6647 | 95 |
| S012 | 21 | monolingual | nonword | 396.7591 | 84 |
| S013 | 31 | monolingual | word | 330.5515 | 92 |
| S013 | 31 | monolingual | nonword | 466.4763 | 82 |
| S014 | 26 | monolingual | word | 355.5141 | 98 |
| S014 | 26 | monolingual | nonword | 511.6196 | 89 |
| S015 | 25 | monolingual | word | 408.7605 | 97 |
| S015 | 25 | monolingual | nonword | 487.3767 | 84 |
| S016 | 24 | monolingual | word | 265.9044 | 89 |
| S016 | 24 | monolingual | nonword | 373.2863 | 83 |
| S017 | 49 | monolingual | word | 411.6540 | 95 |
| S017 | 49 | monolingual | nonword | 436.6086 | 87 |
| S018 | 23 | monolingual | word | 393.3934 | 94 |
| S018 | 23 | monolingual | nonword | 494.6254 | 84 |
| S019 | 36 | monolingual | word | 301.5985 | 95 |
| S019 | 36 | monolingual | nonword | 521.4523 | 83 |
| S020 | 23 | monolingual | word | 372.8018 | 96 |
| S020 | 23 | monolingual | nonword | 508.8880 | 88 |
| S021 | 25 | monolingual | word | 310.7352 | 92 |
| S021 | 25 | monolingual | nonword | 327.2975 | 79 |
| S022 | 35 | monolingual | word | 334.6046 | 96 |
| S022 | 35 | monolingual | nonword | 471.5940 | 80 |
| S023 | 24 | monolingual | word | 356.2256 | 97 |
| S023 | 24 | monolingual | nonword | 488.7731 | 87 |
| S024 | 31 | monolingual | word | 421.9908 | 99 |
| S024 | 31 | monolingual | nonword | 428.9551 | 84 |
| S025 | 26 | monolingual | word | 344.0360 | 93 |
| S025 | 26 | monolingual | nonword | 501.9067 | 86 |
| S026 | 19 | monolingual | word | 332.5621 | 95 |
| S026 | 19 | monolingual | nonword | 418.2602 | 85 |
| S027 | 30 | monolingual | word | 361.3947 | 96 |
| S027 | 30 | monolingual | nonword | 388.8271 | 81 |
| S028 | 42 | monolingual | word | 352.1527 | 94 |
| S028 | 42 | monolingual | nonword | 411.6460 | 84 |
| S029 | 35 | monolingual | word | 368.5695 | 95 |
| S029 | 35 | monolingual | nonword | 457.5472 | 86 |
| S030 | 24 | monolingual | word | 361.4795 | 95 |
| S030 | 24 | monolingual | nonword | 415.3485 | 86 |
| S031 | 21 | monolingual | word | 315.9988 | 94 |
| S031 | 21 | monolingual | nonword | 461.4133 | 88 |
| S032 | 19 | monolingual | word | 329.2842 | 96 |
| S032 | 19 | monolingual | nonword | 380.7887 | 88 |
| S033 | 24 | monolingual | word | 317.4919 | 91 |
| S033 | 24 | monolingual | nonword | 356.1347 | 79 |
| S034 | 19 | monolingual | word | 336.3335 | 95 |
| S034 | 19 | monolingual | nonword | 422.6830 | 87 |
| S035 | 41 | monolingual | word | 353.7729 | 95 |
| S035 | 41 | monolingual | nonword | 509.4866 | 90 |
| S036 | 25 | monolingual | word | 374.7791 | 96 |
| S036 | 25 | monolingual | nonword | 455.0422 | 86 |
| S037 | 30 | monolingual | word | 372.0309 | 93 |
| S037 | 30 | monolingual | nonword | 432.4536 | 81 |
| S038 | 37 | monolingual | word | 350.4335 | 93 |
| S038 | 37 | monolingual | nonword | 486.7266 | 86 |
| S039 | 20 | monolingual | word | 351.0863 | 93 |
| S039 | 20 | monolingual | nonword | 480.4578 | 82 |
| S040 | 28 | monolingual | word | 381.3349 | 94 |
| S040 | 28 | monolingual | nonword | 441.9900 | 85 |
| S041 | 29 | monolingual | word | 400.9932 | 97 |
| S041 | 29 | monolingual | nonword | 464.0155 | 86 |
| S042 | 29 | monolingual | word | 387.3436 | 95 |
| S042 | 29 | monolingual | nonword | 422.9989 | 81 |
| S043 | 28 | monolingual | word | 361.3111 | 93 |
| S043 | 28 | monolingual | nonword | 444.7627 | 81 |
| S044 | 27 | monolingual | word | 320.5438 | 95 |
| S044 | 27 | monolingual | nonword | 430.1967 | 88 |
| S045 | 37 | monolingual | word | 421.4205 | 98 |
| S045 | 37 | monolingual | nonword | 410.3928 | 84 |
| S046 | 24 | monolingual | word | 385.1441 | 97 |
| S046 | 24 | monolingual | nonword | 437.9147 | 88 |
| S047 | 19 | monolingual | word | 364.2024 | 98 |
| S047 | 19 | monolingual | nonword | 521.5333 | 92 |
| S048 | 29 | monolingual | word | 453.8601 | 96 |
| S048 | 29 | monolingual | nonword | 527.3333 | 93 |
| S049 | 29 | monolingual | word | 349.3883 | 95 |
| S049 | 29 | monolingual | nonword | 440.0325 | 82 |
| S050 | 22 | monolingual | word | 346.8406 | 96 |
| S050 | 22 | monolingual | nonword | 460.0266 | 86 |
| S051 | 31 | monolingual | word | 359.2907 | 93 |
| S051 | 31 | monolingual | nonword | 439.0429 | 82 |
| S052 | 32 | monolingual | word | 366.5222 | 92 |
| S052 | 32 | monolingual | nonword | 433.3109 | 85 |
| S053 | 26 | monolingual | word | 376.8269 | 97 |
| S053 | 26 | monolingual | nonword | 504.6637 | 88 |
| S054 | 30 | monolingual | word | 425.8213 | 97 |
| S054 | 30 | monolingual | nonword | 569.0931 | 90 |
| S055 | 26 | monolingual | word | 344.1231 | 99 |
| S055 | 26 | monolingual | nonword | 447.2772 | 89 |
| S056 | 28 | bilingual | word | 323.3023 | 94 |
| S056 | 28 | bilingual | nonword | 593.1752 | 82 |
| S057 | 20 | bilingual | word | 303.0015 | 92 |
| S057 | 20 | bilingual | nonword | 557.7900 | 83 |
| S058 | 30 | bilingual | word | 306.8853 | 93 |
| S058 | 30 | bilingual | nonword | 598.3902 | 85 |
| S059 | 42 | bilingual | word | 361.1029 | 97 |
| S059 | 42 | bilingual | nonword | 580.4153 | 83 |
| S060 | 22 | bilingual | word | 354.6346 | 95 |
| S060 | 22 | bilingual | nonword | 601.6694 | 82 |
| S061 | 19 | bilingual | word | 308.6390 | 95 |
| S061 | 19 | bilingual | nonword | 642.5463 | 88 |
| S062 | 33 | bilingual | word | 479.6013 | 97 |
| S062 | 33 | bilingual | nonword | 706.2317 | 82 |
| S063 | 25 | bilingual | word | 285.6374 | 96 |
| S063 | 25 | bilingual | nonword | 628.6810 | 83 |
| S064 | 21 | bilingual | word | 318.2438 | 94 |
| S064 | 21 | bilingual | nonword | 525.0792 | 88 |
| S065 | 19 | bilingual | word | 256.2833 | 94 |
| S065 | 19 | bilingual | nonword | 555.9724 | 86 |
| S066 | 49 | bilingual | word | 359.9618 | 96 |
| S066 | 49 | bilingual | nonword | 634.2251 | 85 |
| S067 | 42 | bilingual | word | 305.0576 | 92 |
| S067 | 42 | bilingual | nonword | 529.1660 | 84 |
| S068 | 24 | bilingual | word | 379.6834 | 97 |
| S068 | 24 | bilingual | nonword | 647.4263 | 87 |
| S069 | 45 | bilingual | word | 412.4538 | 96 |
| S069 | 45 | bilingual | nonword | 672.0647 | 91 |
| S070 | 34 | bilingual | word | 338.3924 | 92 |
| S070 | 34 | bilingual | nonword | 492.8611 | 81 |
| S071 | 30 | bilingual | word | 421.6405 | 99 |
| S071 | 30 | bilingual | nonword | 581.0442 | 90 |
| S072 | 58 | bilingual | word | 355.7949 | 94 |
| S072 | 58 | bilingual | nonword | 589.4649 | 83 |
| S073 | 35 | bilingual | word | 397.7493 | 96 |
| S073 | 35 | bilingual | nonword | 649.2890 | 88 |
| S074 | 29 | bilingual | word | 296.7600 | 91 |
| S074 | 29 | bilingual | nonword | 530.2701 | 80 |
| S075 | 25 | bilingual | word | 283.7838 | 93 |
| S075 | 25 | bilingual | nonword | 569.7511 | 81 |
| S076 | 30 | bilingual | word | 324.8029 | 94 |
| S076 | 30 | bilingual | nonword | 583.1495 | 83 |
| S077 | 33 | bilingual | word | 293.4677 | 94 |
| S077 | 33 | bilingual | nonword | 662.9756 | 85 |
| S078 | 36 | bilingual | word | 363.7906 | 97 |
| S078 | 36 | bilingual | nonword | 649.4659 | 87 |
| S079 | 26 | bilingual | word | 293.7165 | 95 |
| S079 | 26 | bilingual | nonword | 567.1610 | 87 |
| S080 | 40 | bilingual | word | 427.3684 | 99 |
| S080 | 40 | bilingual | nonword | 666.4698 | 84 |
| S081 | 39 | bilingual | word | 377.6361 | 95 |
| S081 | 39 | bilingual | nonword | 651.8712 | 86 |
| S082 | 41 | bilingual | word | 451.2491 | 100 |
| S082 | 41 | bilingual | nonword | 617.4923 | 92 |
| S083 | 33 | bilingual | word | 306.6871 | 95 |
| S083 | 33 | bilingual | nonword | 563.0389 | 87 |
| S084 | 25 | bilingual | word | 356.0584 | 96 |
| S084 | 25 | bilingual | nonword | 658.6612 | 92 |
| S085 | 34 | bilingual | word | 412.7244 | 97 |
| S085 | 34 | bilingual | nonword | 626.4060 | 87 |
| S086 | 30 | bilingual | word | 344.9887 | 98 |
| S086 | 30 | bilingual | nonword | 633.7884 | 91 |
| S087 | 27 | bilingual | word | 329.0913 | 94 |
| S087 | 27 | bilingual | nonword | 635.9451 | 89 |
| S088 | 22 | bilingual | word | 383.4406 | 97 |
| S088 | 22 | bilingual | nonword | 582.7703 | 88 |
| S089 | 27 | bilingual | word | 294.6573 | 93 |
| S089 | 27 | bilingual | nonword | 555.2142 | 80 |
| S090 | 27 | bilingual | word | 386.6881 | 94 |
| S090 | 27 | bilingual | nonword | 644.5688 | 88 |
| S091 | 38 | bilingual | word | 333.9251 | 96 |
| S091 | 38 | bilingual | nonword | 570.6841 | 83 |
| S092 | 30 | bilingual | word | 381.4393 | 98 |
| S092 | 30 | bilingual | nonword | 579.6419 | 83 |
| S093 | 51 | bilingual | word | 415.8978 | 97 |
| S093 | 51 | bilingual | nonword | 692.2597 | 90 |
| S094 | 18 | bilingual | word | 327.5815 | 94 |
| S094 | 18 | bilingual | nonword | 576.2896 | 84 |
| S095 | 30 | bilingual | word | 353.7837 | 96 |
| S095 | 30 | bilingual | nonword | 592.7136 | 83 |
| S096 | 50 | bilingual | word | 331.0409 | 94 |
| S096 | 50 | bilingual | nonword | 530.9726 | 77 |
| S097 | 22 | bilingual | word | 370.4969 | 97 |
| S097 | 22 | bilingual | nonword | 555.9138 | 83 |
| S098 | 29 | bilingual | word | 331.1488 | 93 |
| S098 | 29 | bilingual | nonword | 532.2910 | 77 |
| S099 | 26 | bilingual | word | 274.5491 | 92 |
| S099 | 26 | bilingual | nonword | 536.6449 | 81 |
| S100 | 43 | bilingual | word | 351.2182 | 95 |
| S100 | 43 | bilingual | nonword | 601.3442 | 83 |
# The whole pipeline
# dat_long <- pivot_longer(
# data = dat,
# cols = rt_word:acc_nonword,
# names_sep = "_",
# names_to = c("dv_type", "condition"),
# values_to = "dv"
# ) %>%
# pivot_wider(names_from = "dv_type",
# values_from = "dv")
# plotting rt (hist)
ggplot(dat_long, aes(x = rt)) +
geom_histogram(binwidth = 10,
fill = "white",
colour = "black") +
scale_y_continuous(
name = "Reaction time (ms)",
limits = c(0, 11),
expand = (c(0, 0))
) +
theme_minimal_hgrid(
font_size = 11,
line_size = .3
) +
theme(
axis.line.x.bottom = element_line(size = .3, color = "black"),
axis.ticks.x = element_blank(),
axis.ticks.y = element_blank(),
panel.grid = element_line(linetype = "dashed"),
)
# plotting accuracy (hist)
ggplot(dat_long, aes(x = acc)) +
geom_histogram(binwidth = 1,
fill = "white",
colour = "black") +
scale_y_continuous(
name = "Accuracy (0-100)",
limits = c(0, 18),
expand = (c(0, 0))
) +
theme_minimal_hgrid(
font_size = 11,
line_size = .3
) +
theme(
axis.line.x.bottom = element_line(size = .3, color = "black"),
axis.ticks.x = element_blank(),
axis.ticks.y = element_blank(),
panel.grid = element_line(linetype = "dashed"),
)
# density plot
p5 <- ggplot(dat_long, aes(x = rt, fill = condition)) +
geom_density() +
scale_y_continuous(
name = "Reaction time (ms)",
expand = c(0, 0)
) +
scale_fill_discrete(
name = "Condition",
labels = c("Word", "Non-word")
) +
theme_minimal_hgrid(
font_size = 11,
line_size = .3
) +
theme(
axis.line.x.bottom = element_line(size = .3, color = "black"),
axis.ticks.x = element_line(color = "black"),
axis.ticks.y = element_blank(),
panel.grid = element_line(linetype = "dashed"),
)
# scatterplot
ggplot(dat_long, aes(x = rt, y = age, color = condition)) +
geom_point() +
geom_smooth(method = "lm") +
scale_colour_discrete(
name = "Condition",
labels = c("Word", "Non-word")
) +
theme_cowplot() +
theme(
axis.line = element_line(size = .3)
)
# plotting relation between rt and condition (using wide-form data)
p4 <- ggplot(dat, aes(x = rt_word, y = rt_nonword, color = language)) +
geom_point() +
geom_smooth(method = "lm") +
scale_colour_viridis_d(
name = "Condition",
labels = c("Monolingual", "Bilingual"),
option = "E"
) +
theme_cowplot() +
theme(
axis.line = element_line(size = .3)
)5.3 Representing Summary Statistics
# boxplot
ggplot(dat_long, aes(x = condition, y = acc, fill = language)) +
geom_boxplot() +
scale_fill_viridis_d(
option = "E",
name = "Group",
labels = c("Bilingual", "Monolingual")
) +
scale_x_discrete(
name = "Condition",
labels = c("Word", "Non-word")
) +
scale_y_continuous(
name = "Accuracy"
) +
theme_cowplot() +
theme(
axis.line = element_line(size = .3)
)
# violin plot
ggplot(dat_long, aes(x = condition, y = acc, fill = language)) +
geom_violin() +
scale_fill_viridis_d(
option = "D",
name = "Group",
labels = c("Bilingual", "Monolingual")
) +
scale_x_discrete(
name = "Condition",
labels = c("Word", "Non-word")
) +
scale_y_continuous(
name = "Accuracy"
) +
theme_cowplot() +
theme(
axis.line = element_line(size = .3)
)
# bar chart of means
ggplot(dat_long, aes(x = condition, y = rt)) +
stat_summary(fun = "mean", geom = "bar", fill = "blue") +
stat_summary(fun.data = "mean_se", geom = "errorbar", width = .2) +
scale_y_continuous(
expand = c(0, 0)
) +
theme_minimal_hgrid(
font_size = 11,
line_size = .3
) +
theme(
axis.line.x.bottom = element_line(size = .3, color = "black"),
axis.ticks = element_blank(),
panel.grid = element_line(linetype = "dashed")
)
# grouped violin-boxplot
ggplot(dat_long, aes(x = condition, y = rt, fill = language)) +
geom_violin(
alpha = .4
) +
geom_boxplot(
width = .2,
fatten = NULL,
position = position_dodge(.9),
alpha = .4
) +
stat_summary(fun = "mean", geom = "point", position = position_dodge(.9)) +
stat_summary(fun.data = "mean_se", geom = "errorbar", width = .1, position = position_dodge(.9)) +
scale_y_continuous(
expand = c(0, 0)
) +
scale_fill_viridis_d(
option = "E"
) +
theme_minimal_hgrid(
font_size = 11,
line_size = .3
) +
theme(
axis.line.x.bottom = element_line(size = .3, color = "black"),
axis.ticks = element_blank(),
panel.grid = element_line(linetype = "dashed")
)
# interaction plot
ggplot(dat_long, aes(x = condition, y = rt, shape = language, group = language, color = language)) +
stat_summary(fun = "mean", geom = "point", size = 3) +
stat_summary(fun = "mean", geom = "line") +
stat_summary(fun.data = "mean_se", geom = "errorbar", width = .2) +
scale_color_manual(
values = c("blue", "darkorange")
) +
theme_cowplot() +
theme(
axis.line = element_line(size = .3)
)
# combined interaction plot
p3 <- ggplot(dat_long, aes(x = condition, y = rt, shape = language, group = language)) +
geom_point(aes(color = language), alpha = .2) +
geom_line(aes(group = id, color = language), alpha = .2) +
stat_summary(fun = "mean", geom = "point", size = 2, color = "black") +
stat_summary(fun = "mean", geom = "line", color = "black") +
stat_summary(fun.data = "mean_se", geom = "errorbar", width = .2, color = "black") +
theme_cowplot() +
theme(
axis.line = element_line(size = .3)
)5.4 Facets
# scatterplots
p1 <- ggplot(dat_long, aes(x = rt, y = age, color = condition)) +
geom_point() +
geom_smooth(method = "lm") +
scale_colour_discrete(
name = "Condition",
labels = c("Word", "Non-word")
) +
theme_cowplot() +
theme(
axis.line = element_line(size = .3)
) +
facet_wrap(~condition)
# grouped violin-boxplot
p2 <- ggplot(dat_long, aes(x = condition, y = rt, fill = language)) +
geom_violin(
alpha = .4
) +
geom_boxplot(
width = .2,
fatten = NULL,
position = position_dodge(.9),
alpha = .4
) +
stat_summary(fun = "mean", geom = "point", position = position_dodge(.9)) +
stat_summary(fun.data = "mean_se", geom = "errorbar", width = .1, position = position_dodge(.9)) +
scale_y_continuous(
expand = c(0, 0)
) +
scale_fill_viridis_d(
option = "E"
) +
theme_minimal_hgrid(
font_size = 11,
line_size = .3
) +
theme(
axis.line.x.bottom = element_line(size = .3, color = "black"),
axis.ticks = element_blank(),
panel.grid = element_line(linetype = "dashed")
) +
facet_wrap(~factor(language,
levels = c("monolingual", "bilingual"),
labels = c("Monolingual participants", "Bilingual participants")
)) +
guides(fill = FALSE) # remove legend
p2
# saving plots as images
# ggsave(filename = "grouped_violin_plots.png", plot = p1)
# arranging multiple plots
p1 + p2 # side-by-side
p1 / p2 # stacked
(p3 | p4) / p1 + p3 # multiple plots
# labeling axis with labs()
p3 + labs(
x = "Type of word",
y = "Reaction time (ms)",
title = "Language group by word type interaction plot",
subtitle = "Reaction time data"
)
5.5 Advanced Plots
theme_hgrid_config <- theme_minimal_hgrid(
font_size = 11,
line_size = .3
) +
theme(
axis.line.x.bottom = element_line(size = .3, color = "black"),
axis.ticks = element_blank(),
panel.grid = element_line(linetype = "dashed"))
# split-violin plots
ggplot(dat_long, aes(x = condition, y = rt, fill = language)) +
introdataviz::geom_split_violin(alpha = .4, trim = FALSE) +
geom_boxplot(width = .2, alpha = .6, show.legend = FALSE) +
stat_summary(fun.data = "mean_se", geom = "pointrange", show.legend = F,
position = position_dodge(.175)) +
scale_x_discrete(name = "Condition", labels = c("Non-word", "Word")) +
scale_y_continuous(name = "Reaction time (ms)",
breaks = seq(200, 800, 100),
limits = c(200, 800),
expand = c(0, 0)) +
scale_fill_viridis_d(option = "E", name = "Language group") +
theme_hgrid_config
# Raincloud plots
rain_height <- .1
ggplot(dat_long, aes(x = "", y = rt, fill = language)) +
# clouds
introdataviz::geom_flat_violin(trim=FALSE, alpha = 0.4,
position = position_nudge(x = rain_height+.05)) +
# rain
geom_point(aes(colour = language), size = 2, alpha = .5, show.legend = FALSE,
position = position_jitter(width = rain_height, height = 0)) +
# boxplots
geom_boxplot(width = rain_height, alpha = 0.4, show.legend = FALSE,
outlier.shape = NA,
position = position_nudge(x = -rain_height*2)) +
# mean and SE point in the cloud
stat_summary(fun.data = mean_se, mapping = aes(color = language), show.legend = FALSE,
position = position_nudge(x = rain_height * 3)) +
# adjust layout
scale_x_discrete(name = "", expand = c(rain_height*3, 0, 0, 0.7)) +
scale_y_continuous(name = "Reaction time (ms)",
breaks = seq(200, 800, 100),
limits = c(200, 800)) +
coord_flip() +
facet_wrap(~factor(condition,
levels = c("word", "nonword"),
labels = c("Word", "Non-Word")),
nrow = 2) +
# custom colours and theme
scale_fill_viridis_d(option = "E", name = "Language group") +
scale_colour_viridis_d(option ="E") +
theme_minimal() +
theme(panel.grid.major.y = element_blank(),
legend.position = c(0.8, 0.8),
legend.background = element_rect(fill = "white", color = "white"),
panel.grid = element_line(linetype = "dashed"))
# Ridge plots
# read in data from Nation et al. 2017
data <- read_csv("https://raw.githubusercontent.com/zonination/perceptions/master/probly.csv")
# convert to long format and percents
long <- pivot_longer(data, cols = everything(),
names_to = "label",
values_to = "prob") %>%
mutate(label = factor(label, names(data), names(data)),
prob = prob/100)
# ridge plot
ggplot(long, aes(x = prob, y = label, fill = label)) +
ggridges::geom_density_ridges(scale = 2, show.legend = FALSE) +
scale_x_continuous(name = "Assigned Probability",
limits = c(0, 1.1), labels = scales::percent,
expand = c(0, 0)
) +
# control space at top and bottom of plot
scale_y_discrete(name = "", expand = c(0.02, 0, .08, 0)) +
theme_dviz_vgrid() +
theme(
panel.grid = element_line(size = .3, linetype = "dashed"),
panel.border = element_blank(),
axis.ticks.y = element_blank()
)
# Alluvial plots
# simulate data for 4 years of grades from 500 students
# with a correlation of 0.75 from year to year
# and a slight increase each year
dat <- faux::sim_design(
within = list(year = c("Y1", "Y2", "Y3", "Y4")),
n = 500,
mu = c(Y1 = 0, Y2 = .2, Y3 = .4, Y4 = .6), r = 0.75,
dv = "grade", long = TRUE, plot = FALSE) %>%
# convert numeric grades to letters with a defined probability
mutate(grade = faux::norm2likert(grade, prob = c("3rd" = 5, "2.2" = 10, "2.1" = 40, "1st" = 20)),
grade = factor(grade, c("1st", "2.1", "2.2", "3rd"))) %>%
# reformat data and count each combination
tidyr::pivot_wider(names_from = year, values_from = grade) %>%
dplyr::count(Y1, Y2, Y3, Y4)
# plot data with colours by Year1 grades
ggplot(dat, aes(y = n, axis1 = Y1, axis2 = Y2, axis3 = Y3, axis4 = Y4)) +
geom_alluvium(aes(fill = Y4), width = 1/6) +
geom_stratum(fill = "grey", width = 1/3, color = "black") +
geom_label(stat = "stratum", aes(label = after_stat(stratum))) +
scale_fill_viridis_d(name = "Final Classification") +
theme_minimal() +
theme(legend.position = "top")
6 Tutorials
6.1 Labelling Bar Graphs in ggplot2
6.1.1 Data preparation
mpg_sum <- mpg |>
dplyr::filter(year == 2008) |>
dplyr::mutate(
# capitalize first letter
manufacturer = stringr::str_to_title(manufacturer),
# turn into lumped factors with capitalized names
manufacturer = forcats::fct_lump(manufacturer, n = 10)
) |>
# count and sort ocurrences
dplyr::count(manufacturer, sort = TRUE) |>
dplyr::mutate(
# order factor levels by number, put "Other" to end
manufacturer = forcats::fct_rev(forcats::fct_inorder(manufacturer)),
manufacturer = forcats::fct_relevel(manufacturer, "Other", after = 0)
)
# we have reversed the ordering since {ggplot2} plots factors from bottom to top when being mapped to y
mpg_sum| manufacturer | n |
|---|---|
| Dodge | 21 |
| Toyota | 14 |
| Chevrolet | 12 |
| Volkswagen | 11 |
| Other | 11 |
| Ford | 10 |
| Audi | 9 |
| Hyundai | 8 |
| Subaru | 8 |
| Nissan | 7 |
| Jeep | 6 |
6.1.2 Data visualization with ggplot2
# plotting the basic bar plot
ggplot(mpg_sum, aes(x = n, y = manufacturer)) +
geom_col(fill = "gray70") +
theme_minimal()
# calculate percentages creating a temp df
# option 1: using sprintf() to create percentage labels
mpg_sum <- mpg_sum |>
dplyr::mutate(
perc = paste0(sprintf("%4.1f", n / sum(n) * 100), "%")
)
mpg_sum| manufacturer | n | perc |
|---|---|---|
| Dodge | 21 | 17.9% |
| Toyota | 14 | 12.0% |
| Chevrolet | 12 | 10.3% |
| Volkswagen | 11 | 9.4% |
| Other | 11 | 9.4% |
| Ford | 10 | 8.5% |
| Audi | 9 | 7.7% |
| Hyundai | 8 | 6.8% |
| Subaru | 8 | 6.8% |
| Nissan | 7 | 6.0% |
| Jeep | 6 | 5.1% |
# option 2: using the percent() from the scales package
# mpg_sum <- mpg_sum |>
# dplyr::mutate(
# perc = scales::percent(n / sum(n), accuracy = .1, trim = FALSE)
# )
# mpg_sum
# adding the percentage label
ggplot(mpg_sum, aes(x = n, y = manufacturer)) +
geom_col(fill = "gray70") +
geom_text(aes(label = perc)) +
theme_minimal()
# adding some description to one of the bars
mpg_sum <- mpg_sum |>
dplyr::mutate(
perc = paste0(sprintf("%4.1f", n / sum(n) * 100), "%"),
perc = if_else(row_number() == 1, paste(perc, "of all car models"), perc)
)
ggplot(mpg_sum, aes(x = n, y = manufacturer)) +
geom_col(fill = "gray70") +
geom_text(aes(label = perc)) +
theme_minimal()
# example of creating and placing labels on the fly
# prepare non-aggregated data set with lumped and ordered factors
# mpg_fct <- mpg %>%
# dplyr::filter(year == 2008) %>%
# dplyr::mutate(
# # add count to calculate percentages later
# total = dplyr::n(),
# # turn into lumped factors with capitalized names
# manufacturer = stringr::str_to_title(manufacturer),
# manufacturer = forcats::fct_lump(manufacturer, n = 10),
# # order factor levels by number, put "Other" to end
# manufacturer = forcats::fct_rev(forcats::fct_infreq(manufacturer)),
# manufacturer = forcats::fct_relevel(manufacturer, "Other", after = 0)
# )
# mpg_fct
#
# ggplot(mpg_fct, aes(x = manufacturer)) +
# geom_bar(fill = "gray70") +
# # add count labels
# geom_text(
# stat = "count",
# aes(label = ..count..)
# ) +
# # rotate plot
# coord_flip() +
# theme_minimal()
# locating labels inside the bars
ggplot(mpg_sum, aes(x = n, y = manufacturer)) +
geom_col(fill = "gray70") +
geom_text(aes(label = perc),
hjust = 1,
nudge_x = -.5
) +
theme_minimal()
# In case you want to put the next to the bars, you often need to adjust the plot margin and/or the limits to avoid that the labels are cut off. The drawback of using limits is that you have to define them manually.You can make sure that labels are not truncated by the panel by adding clip = "off" to any coordinate system.
# adding colors to the bars using different hues
# option 1: create color palette based on input data
pal <- c(
"gray85",
# use the length of the manufacturer column for all non-highlighted bars and subtract the number of bars we want to highlight
rep("gray70", length(mpg_sum$manufacturer) - 4),
"coral2", "mediumpurple1", "goldenrod1"
)
ggplot(mpg_sum, aes(x = n, y = manufacturer, fill = manufacturer)) +
geom_col() +
geom_text(aes(label = perc),
hjust = 1,
nudge_x = -.5
) +
# add custom colors
scale_fill_manual(values = pal, guide = "none") +
theme_minimal()
# option 2: add the color to the data set and map the fill to that column and use scale_fill_identity()
# this option will work also if the data were updated!
mpg_sum <- mpg_sum |>
mutate(
color = case_when(
row_number() == 1 ~ "goldenrod1",
row_number() == 2 ~ "mediumpurple1",
row_number() == 3 ~ "coral2",
manufacturer == "Other" ~ "gray85",
# all others should be gray
TRUE ~ "gray70"
)
)
ggplot(mpg_sum, aes(x = n, y = manufacturer, fill = color)) +
geom_col() +
geom_text(
aes(label = perc),
hjust = 1, nudge_x = -.5
) +
# add custom colors
scale_fill_identity(guide = "none") +
theme_minimal()
# some polishing
ggplot(mpg_sum, aes(x = n, y = manufacturer, fill = color)) +
geom_col() +
geom_text(
aes(label = perc),
hjust = 1, nudge_x = -.5,
size = 3.5, fontface = "bold", family = "Fira Sans"
) +
scale_x_continuous(expand = c(.01, .01)) +
# add custom colors
scale_fill_identity(guide = "none") +
theme_void() +
theme(
axis.text.y = element_text(size = 14, hjust = 1, family = "Fira Sans"),
plot.margin = margin(rep(15, 4))
)
# adding label boxes for accessibility
ggplot(mpg_sum, aes(x = n, y = manufacturer, fill = color)) +
geom_col() +
geom_label(
aes(label = perc),
hjust = 1, nudge_x = -.5,
size = 3.5, fontface = "bold", family = "Fira Sans",
fill = "white", label.size = 0
) +
scale_x_continuous(expand = c(.01, .01)) +
# add custom colors
scale_fill_identity(guide = "none") +
theme_void() +
theme(
axis.text.y = element_text(size = 14, hjust = 1, family = "Fira Sans"),
plot.margin = margin(rep(15, 4))
)
# with a different label placement
mpg_sum2 <- mpg_sum |>
mutate(
# set justification based on data
# so that only the first label is placed inside
place = if_else(row_number() == 1, 1, 0),
# add some spacing to labels since we cant use nudge_x anymore
perc = paste(" ", perc, " ")
)
mpg_sum2| manufacturer | n | perc | color | place |
|---|---|---|---|---|
| Dodge | 21 | 17.9% of all car models | goldenrod1 | 1 |
| Toyota | 14 | 12.0% | mediumpurple1 | 0 |
| Chevrolet | 12 | 10.3% | coral2 | 0 |
| Volkswagen | 11 | 9.4% | gray70 | 0 |
| Other | 11 | 9.4% | gray85 | 0 |
| Ford | 10 | 8.5% | gray70 | 0 |
| Audi | 9 | 7.7% | gray70 | 0 |
| Hyundai | 8 | 6.8% | gray70 | 0 |
| Subaru | 8 | 6.8% | gray70 | 0 |
| Nissan | 7 | 6.0% | gray70 | 0 |
| Jeep | 6 | 5.1% | gray70 | 0 |
ggplot(mpg_sum2, aes(x = n, y = manufacturer, fill = color)) +
geom_col() +
geom_text(
aes(label = perc, hjust = place),
size = 4, fontface = "bold", family = "Fira Sans"
) +
scale_x_continuous(expand = c(.01, .01)) +
scale_fill_identity(guide = "none") +
theme_void() +
theme(
axis.text.y = element_text(size = 14, hjust = 1, family = "Fira Sans"),
plot.margin = margin(rep(15, 4))
)
6.2 Tables
Tables are a form of data visualization. If you want to show the exact amount of every value in your data, a table might be your best solution. But tables are especially susceptible to clutter. 
The ten guidelines of better tables:
- Rule 1. Offset the headers from body
- Rule 2. Use subtle dividers instead of heavy gridlines
- Rule 3. Right-align numbers and headers
- Rule 4. Left-align text and header
- Rule 5. Select the appropriate level of precision
- Rule 6. Guide your reader with space between rows and columns
- Rule 7. Remove unit repetition
- Rule 8. Highlight outliers
- Rule 9. Group similar data and increase white space
- Rule 10. Add visualizations when appropriate
- Rule 1. Offset the headers from body
Make your column titles clear. Try using boldface text or lines to offset them from the numbers and text in the body of the table. 
2. Rule 2. Use subtle dividers instead of heavy gridlines
For series that show the total, use shading, boldface, or subtle line breakers to distinguish these. 
3. Rule 3. Right-align numbers and headers
Right-align numbers along the decimal place or comma. You might need to add zeros to maintain the alignment, but it’s worth it so the numbers are easier to read and scan. Always use fonts that have “lining numbers,” where all the numerals hit the baseline, and none drop below it. 
4. Rule 4. Left-align text and header
Once we’ve right-aligned the numbers, we should left-align the text. 
5. Rule 5. Select the appropriate level of precision
Precision to the fifth-decimal place is almost never necessary. Strike a balance between necessary precision and a clean, spare table. 
6. Rule 6. Guide your reader with space between rows and columns
Your use of space in and around the table can influence the direction in which your reader reads the data. In the table on the left, for example, there is more space between the columns than between the rows, so your eye is drawn to read the table top-to-bottom rather than left-to-right. By comparison, the table on the right has more space between the rows than between the columns, so your eye is more likely to track horizontally rather than vertically. Use spacing strategically to match the order in which you want your reader to take in the table. 
7. Rule 7. Remove unit repetition
Your reader knows that the values in your table are dollars because you told them in the title or subtitle. Repeating the symbol throughout the table is overkill and cluttering. Use the title or column title area to define the units, or place them in the first row only (remembering to align the numbers along the decimal). If you are mixing units within the table, be sure to make your labels clear. 
8. Rule 8. Highlight outliers
If we want to point out some observations, we might want to highlight outlier values by making the text boldface, shading it with color, or even shading the entire cell. Some readers will wade through all of the numbers in the table because they need specific information, but many readers are more likely to look for only the most important values. 
9. Rule 9. Group similar data and increase white space
Reduce repetition by grouping similar data or labels. Similar to eliminating dollars signs on every number value, we can reduce some of the clutter in our tables by grouping like terms or labels. In this next example, grouping the names of the country regions reduces the amount of repetitive information in the first column. You can also use spanner headers and rules to combine the same entry and reduce unnecessary repetition. 
10. Rule 10. Add visualizations when appropriate
Just like highlighting outliers with color or boldface, you might add sparklines to visualize some data rather than showing every number. Or you can use small bar charts to visually illustrate a series of numbers. Or you could use a heatmap and leave the numbers in the table or hide them, which can help the reader focus on the overall patterns and ignore the details. We can also embed a chart-type structure right into our table. If you want a full chart embedded within the table, a dot plot is succinct and can line up well within the linear structure of a table. You can also use a modification on the standard dot plot to place the numbers in their relative positions directly in a table. 
7 Data Science for Psychologists (Hansjörg Neth)
7.1 Using colors in R
unikn::seecol(c(Seeblau, "deepskyblue"))
8 Linting
The code in this RMarkdown is linted with the lintr package, which is based on the tidyverse style guide.
# lintr::lint("main.Rmd", linters =
# lintr::with_defaults(
# commented_code_linter = NULL,
# trailing_whitespace_linter = NULL
# )
# )
# # if you have additional scripts and want them to be linted too, add them here
# lintr::lint("scripts/my_script.R")